From LedHed's Wiki
Overview
If you try to run Windows Updates and get an Error 80072EFD, you may have failed/stuck updates.
One possible fix (worked for me)
Stop BITS and Windows Update services:
net stop bits net stop wuauserv
Flush DNS Cache
Ipconfig /flushdns
Delete broken update files in C:\Users\All Users\Microsoft\Network\Downloader
cd "C:\Users\All Users\Microsoft\Network\Downloader" del qmgr0.dat del qmgr1.dat
Restart BITS and Windows Update services:
net start bits net start wuauserv