The split
method you are using is from Python, and in the Field Calculator you are applying that method to the string returned from each row in the PROPR_NAME field.
I think the easiest way to get the same done using ArcPy is to open the Calculate Field tool, configure it the same as you did for the Field Calculator, run it, and then use the Results window to Copy As Python Snippet.
You can paste that Python Snippet, which will have the correct syntax, into your script.
Alternatively, you could investigate using arcpy.da.UpdateCursor() instead of the Calculate Field tool.