Thank you. You are right. I read the wikipedia article (see below) before writing my Posting. However, I don't understand how a Ph.D. these could make him a physician.
In 1935, Mengele earned a PhD in anthropology from the University of Munich. In January 1937, at the Institute for Hereditary Biology and Racial Hygiene in Frankfurt, he became the assistant to Dr. Otmar Freiherr von Verschuer, a scientist conducting genetics research, with a particular interest in twins. As an assistant to von Verschuer, Mengele focused on the genetic factors resulting in a cleft lip and palate or cleft chin. His thesis on the subject earned him a cum laude doctorate in medicine in 1938.