72 hour transit question at PEK

I will be travelling to PEK from Denmark (CPH) via Dusseldorf - Abu Dhabi. All with Etihad airlines. 3 days later I will enter North Korea with a local travelcompany, by plane from Beijing. Does this Period qualify for visa free? provided I can show the plane ticket + visa for north korea when i am applying for the free 72 transit visa in PEK.