Polyols initiated with a first initiator having a relatively high functionality averaging greater than eight and comprising a range of species of different functionality, and optionally a second initiator, having low functionality, i.e. a two to eight nominal functionality initiator molecule. Another aspect of the invention is a process for making the polyol. The invention is also directed to a process for producing polyurethane foam by reacting the polyol of the invention with isocyanates, and the foam produced thereby.