Here's a thing we learned this week that we probably should have learned at least four years ago: "Enhanced Profile List Views" are a thing.
We have always only ever looked at the "All Profiles" option on this page, probably because we just don't have that many profiles (and also perhaps because we've always been bad at managing profiles and permissions in the past -- stay tuned for a much longer post on THAT topic, coming soon).
But hey, it turns out that if you click Edit or Create New View on this page, you get a whole fancy filtering tool, just like the one you get for Permission Set list views:
You can filter the list to only show profiles that have certain permissions in them, and/or you can leave the filters alone and just add a bunch of really useful columns instead, showing which profiles do or do not have a particular permission or set of permissions.
(One thing that's weird is that the search boxes on this page seem to be a lot more restrictive/precise/finicky than many other Salesforce search tools -- in the example above, searching for "Territories" or even "*Territories" (with an asterisk) returns zero results, you need to actually start with the beginning of the phrase.)
And then, once you have your permissions in the list view… Salesforce supports inline editing of permissions!
So if you haven't yet enabled this feature… or if, like us, you HAVE enabled it and just never used it at all… it's definitely worth checking out to save some time next time you need to edit or review some Profiles.