[Error Code] 0x80072ee2 0x80072ee7 0x80072efd 0x80072efe 0x80072ee0 0x80072f94 HTTP/1.1 502 Bad Gateway [Relevant Links] Sending large messages can time out over a slow connection [Explanation] 
Your Google Apps Sync client is experiencing network timeouts. To resolve this issue, set the registry keys in the adjancent article in order to resolve.