Malware is more easily spread onto rooted phone, that's for sure.

From they you can keylog. Highjack input listeners, basically do anything you want.

That's what a malware can do on a rooted phone, _once it gets root access_, but that doesn't mean a rooted phone is easier for malware to attack.

There's not even that many people using rooted phones, and many are tech savvy people that are generally a bit more careful, so even if a rooted phone gets infected by some malware chances are the malware won't even be written in such a way to try to obtain root permissions through the standard procedure and exploit it.