The C62 has a much wider opening (60") than the R72. All of the newer Gleaner headers (98 and up) will fit the C62 but if the adapter that you have is for a r72 it won't fit a C62 without modifications.
If the hydralic and electrical hook ups are the same, it should work. I think all HB header adaptor are universal,except for hydralic and electrical hook ups.