Running additional code with auto property setter

Is it possible to run additional code in the setter, only using auto implemented properties? I.e. something like this, just using auto properties:

// I Would like to get rid of this...
int privateField 

// ...and only have this
public int PrivateField 
{
    get { return privateField; }
    set
    {
        privateField = value;
        functionDependingOnSetter(value);
    }
}

(in case it is not clear, I want the function functionDependingOnSetter() to run, whenever the property setter is called).