property and rotation

Could you make a property show the degrees of rotation of a object?

Yes. Of course. You could easily find the first part of the solution in the API if you would look for an attribute that gets the orientation of a game object. And you will find KX_GameObject.worldOrientation. The second part is to convert this Matrix to an Euler, this would be Matrix.to_euler(). The last part is to convert the angles (in radians) to degrees with the Python math module: degrees(angle).

from math import degrees

def storeAngleDegrees(cont):
    own = cont.owner
    angle_radians = own.worldOrientation.to_euler()
    angle_degrees = [degrees(i) for i in angle_radians]
    own['angle_degrees'] = angle_degrees