If you have a strange Windows update problem, always start by running sfc /scannow from elevated CMD. This will scan for damaged system files and fix them.
The 80072ee2 error can be solved with ease according to this article.
Solving the Windows Update 80072EE2 Error
To fix this I simply performed the follow steps:
- Windows Update Error 80072EE2 RegeditGo to Start
- In the Run box type regedit and hit enter
- In the registry editor, browse to the folder in the left hand panel to the HKEY_LOCAL_MACHINE\SOFTWARE\Policies\Microsoft\Windows\WindowsUpdate folder and delete the keys in the right hand pane called WUServer and WIStatusServer
- In the Run box type services.exe and hit enter
- Find the ‘Windows Update‘ service at the bottom of the list
- Right click it and select Restart
It is possible that your firewall is blocking something, so disable it and check if the problem is solved.
Try using another browser to make sure it is not a browser/plugin problem (Chrome, Firefox, Internet Explorer).