Error code 80072EFE is related to Windows update. It is known with:
- Windows 2000
- Windows 7
- Windows 8
- Windows 10
Even manual efforts are frustrated as the corresponding web servers are unavailable as well. Usually this is caused by Windows update servers being unavailable.
The only real solution is to wait a few hours and try again.
Service packs for Windows 2000 and above can be manually downloaded and installed.