You can report it, but there is a difference: http://www.ecenglish.com/learnenglish/lessons/whats-difference-between-look-see-watch
Ich schaue mich um/wir schauen uns um: i look around/we look around (i am standing at a certain point and look at my surroundings.)
Ich schaue aus dem Fenster: i look out of the window (there is a window and i look through it at tge outside world.)
Ich schaue mir die Sachen an: I look at the clothes.
Ich schaue mich an: i look at myself (i.e. i am trying to decide wether or not I wear the right clothes for tge occasion)
Not reflexive but also with accusative object: Er schaut sie an: he looks at her (more often: er sieht sie an)