The Model 725 is my favorite Remington bolt-action rifle, made only for a short period of time (between 1958 and 1961). It's more of a gussied-up 721/722 (adding hand-cut checkering on the stock, hinged floor plate, sling-swivels, machined trigger guard, etc.) and, more correctly, is a "transitional" model between it and the Model 700 (all essentially the same rifles with mostly cosmetic and floor plate changes).
I think the Model 725 compared very favorably with the pre-64 Winchester Model 70. The Model 70, of course, came with a Mauser-style extractor, a feature none of the Models 721, 722, 725 or 700 ever had, if that's important to you. Are you sure the Model 725 had a three-position safety? That would be news to me.