Today I set a transaction with the lowest fee and I was warned with a notice that with such a fee, the transaction could take days to be confirmed. I confirmed it because I wasn't in a hurry at all. That was about a couple of hours ago and it already has 8 confirmations.
I've checked mempool's unconfirmed transactions and there are about 72.000 whereas that figure hasn't been below 200.000 for quite a while..
Any specific reason for that? Has the price anything to do with it?
yes, it is true, the price affects the fast or slow transactions, because it is a means or gas used to transact.