Rather than list all possibilities for deposits which is impossible, I'll instead tell you:
Deposits are refundable ~and~
Fees are never refundable.
A security deposit is generally one month's rent, but may be 1.5 times one month's rent. A pet deposit will be an additional cost.
Fees are largely based upon the landlord/property management company and "type" of rental - luxury vs. "average" single family, condo, townhouse, patio home, or apartment.
Here's a link to the Arizona Residential Landlord Tenant Act, to answer any further question you may have: https://housing.az.gov/sites/default/files/documents/files/AZ%20Residential%20Landlord%20and%20Tenant%20Act%20-%20Revised%20July%203%202015.pdf
Best of luck!