Hurrem is the Turkish spelling and pronunciation of the Persian name Khurram. It is pronounced as [(H)ot + p(U)t + p(R)ay] + [(RU)n + (M)an]. Hurrem/Khurram means "exuberant", "cheerful", "blooming", "opulent", "happy". Both Hurrem and Khurram are not Arabic/Quranic names, but since their meaning is good Muslims can use them.
Khurram is pronounced as [(KH)artoum + p(U)t + p(R)ay] + [(RU)n + (M)an]