Sorry - it's just you said you often leave a public loo without washing your hands so I took from that it was a very regular occurence.
I would urge anyone using public loos to use soap and water and wash your hands properly according to guidelines, both for your sake and everyone else using the loos.
Employing a cleaner - and difficulties thereof
Hand sanitizer is better than nothing, but hand washing with soap and hot water is far better. You know you can do both?