diff --git a/stdlib/2.7/urllib2.pyi b/stdlib/2.7/urllib2.pyi
index 966e6a8b0..471b4931e 100644
--- a/stdlib/2.7/urllib2.pyi
+++ b/stdlib/2.7/urllib2.pyi
@@ -15,8 +15,8 @@ class Request(object):
     origin_req_host= ...
     unredirected_hdrs = ...
 
-    def __init__(self, url: str, data: str, headers: Dict[str, str],
-                 origin_req_host: str, unverifiable: bool) -> None: ...
+    def __init__(self, url: str, data: str = None, headers: Dict[str, str] = ...,
+                 origin_req_host: str = None, unverifiable: bool = ...) -> None: ...
     def __getattr__(self, attr): ...
     def get_method(self) -> str: ...
     def add_data(self, data) -> None: ...
@@ -33,12 +33,13 @@ class Request(object):
     def add_header(self, key: str, val: str) -> None: ...
     def add_unredirected_header(self, key: str, val: str) -> None: ...
     def has_header(self, header_name: str) -> bool: ...
-    def get_header(self, header_name: str, default: str) -> str: ...
+    def get_header(self, header_name: str, default: str = None) -> str: ...
     def header_items(self): ...
 
 class OpenerDirector(object): ...
 
-def urlopen(url, data, timeout): ...
+def urlopen(url, data=None, timeout=..., cafile=None, capath=None, cadefault=False,
+            context=None): ...
 def install_opener(opener): ...
 def build_opener(*handlers): ...
 
@@ -65,7 +66,7 @@ class HTTPRedirectHandler(BaseHandler):
 
 
 class ProxyHandler(BaseHandler):
-    def __init__(self, proxies): ...
+    def __init__(self, proxies=None): ...
     def proxy_open(self, req, proxy, type): ...
 
 class HTTPPasswordMgr:
@@ -78,7 +79,7 @@ class HTTPPasswordMgr:
 class HTTPPasswordMgrWithDefaultRealm(HTTPPasswordMgr): ...
 
 class AbstractBasicAuthHandler:
-    def __init__(self, password_mgr): ...
+    def __init__(self, password_mgr=None): ...
     def reset_retry_count(self): ...
     def http_error_auth_reqed(self, authreq, host, req, headers): ...
     def retry_http_basic_auth(self, host, req, realm): ...
@@ -92,7 +93,7 @@ class ProxyBasicAuthHandler(AbstractBasicAuthHandler, BaseHandler):
     def http_error_407(self, req, fp, code, msg, headers): ...
 
 class AbstractDigestAuthHandler:
-    def __init__(self, passwd): ...
+    def __init__(self, passwd=None): ...
     def reset_retry_count(self): ...
     def http_error_auth_reqed(self, auth_header, host, req, headers): ...
     def retry_http_digest_auth(self, req, auth): ...
@@ -121,11 +122,12 @@ class HTTPHandler(AbstractHTTPHandler):
     http_request = AbstractHTTPHandler.do_request_
 
 class HTTPSHandler(AbstractHTTPHandler):
+    def __init__(self, debuglevel=0, context=None): ...
     def https_open(self, req): ...
     https_request = AbstractHTTPHandler.do_request_
 
 class HTTPCookieProcessor(BaseHandler):
-    def __init__(self, cookiejar): ...
+    def __init__(self, cookiejar=None): ...
     def http_request(self, request): ...
     def http_response(self, request, response): ...