Partial differential operators of Euler type are singular differential operators $P(\theta)$ built from the elementary differentials $\theta_j:= x_j\partial_j, j=1,\dots, d$. We will touch upon subjects like description of the range, surjectivity and injectivity of these operators. We also introduce an appropriate version of the Mellin transform useful for our purposes. Few hints are given to the more general class of Hadamard operators. In a second part, the existence of continuous linear right inverses for Euler type operators and the connection to hyperbolicity are discussed.