A polyetherurethane polymer containing isocyanate groups and having an NCO content in the range from 1.3% to 1.9% by weight and a monomeric diisocyanate content of not more than 0.5% by weight, obtained from the reaction of at least one monomeric aromatic diisocyanate and a polyether triol having an average OH functionality in the range from 2.2 to 2.6 and an OH number in the range from 25 to 32 mg KOH/g in an NCO/OH ratio of at least 3/1 and subsequent removal of a majority of the monomeric diisocyanates by means of a suitable separation method, and to moisture-curing polyurethane compositions having a monomeric diisocyanate content of less than 0.1% by weight, comprising said polymer.