1. An image processing apparatus comprising: an image processing section which recognizes face images from an object image obtained by picking up an image of an object, determines regions of interest corresponding to the recognized face images and performs an enlargement process; a display section which displays the face images obtained by the image processing section; an image operating section which, when a plurality of people are present in the object image, accepts an instruction for sequentially switching the face images to be displayed on the display section; and a control section which controls the face images so that they are sequentially switched to be displayed on the display section according to the instruction accepted by the image operating section; wherein the control section comprises: an acquiring section which acquires information relating to a focusing position of the image processing apparatus; and a display control section which controls face images closer to the focusing position indicated by the acquired information to be displayed first, when the face images are sequentially switched to be displayed on the display section.