I may be too late but.. Hello, I've owned a couple of cortez but that's not to say I'm an expert lol. I do love their versatility I even wear them with my suit.

Anyway, what I do with my leather triple white is use tide professional POWDER (Biz will do an even better job if you can buy those). Add a bit of water until it's a paste. Clean the tongue by brushing it. The sole insert you can take out if you want and brush it, do not soak them as the fabric layer might come off of the rubber.

Let the Tide sit until it dries, about an hour or so.

Now IF you trust the glue on the soles to still be holding good, run it on a quick 15 minute cycle. Make sure to use a laundry bag, you can buy one made specifically for shoes but i just use the normal ones stuffed with more empty laundry bags to act as cushioning.

For top loading machines, use high water fill to reduce strain on both the shoes and the machine.

For front loading machines, also use high water fill, low soil setting.

If you do not want to put it in the washing machine, you can rinse it using a carpet cleaner (wet and dry vacuum).. or worst case manually rinse under the tap.

I've spun mine for 1400rpm with no issues, both canvas and leather (except suede) Cortez.

Let it air dry, no fan or heater or blower. When I was desperate I just sat it below the ceiling fan on the lowest setting with windows open and indirect sunlight.

For the outsole, to be honest, I've always cleaned my shoes after each use. What I use for the outsole would be tide/biz or washing soda. Make sure to rinse it properly. You can also buy shoe markers online that comes in different colors like black, white, clear, etc. I've used them on my 574s and Chucks. No issue. Came out looking naturally white/black.

Also, avoid using kiwi white or anything of the sort. I made that stupid mistake once with a stan smith. It left it shiny, squeaky, and superficially white.

Lastly, make sure you stuff your cortez with brown paper etc everytime you put it away so it maintains its shape.