The First 37 Riviera ever made?

Well, it is a '65, so it cud be.
It will only take a quick look in the engine room to see if the numbers match.
RXP-37-2701?
Bingo!
Good luck - she looks all there.
http://www.usedboats.com/boat-listing/1965-Chris-Craft-Roamer-37/1329611
Cheers!
Eric