The RAW files won't work in any Lightroom an may not for several months as it is a new camera.
No. My guess is it will come with LR6 or 6.1
This gives a list of which cameras are supported by which Lightroom and Camera Raw versions.
Thanks for the replies, guess I'll have to wait until LR6 comes out.
Most likely your wait will be longer than that since the camera is less than a month old and LR6 is all but ready to be released.
You will probably see D7200 support in 6.0.1 in three to four months.