I suggest to read the best answer here:
https://stackoverflow.com/questions/6184337/best-practice-php-magic-methods-set-and-get
Copy/pasting here the response:
this is slower (than getters/setters)
there is no auto-completion (and this is a major problem actually), and type management by the IDE for refactoring and code-browsing (under Zend Studio/PhpStorm this can be handled with the @property phpdoc annotation but that requires to maintain them: quite a pain)
the documentation (phpdoc) doesn't match how your code is supposed to be used, and looking at your class doesn't bring much answers as well. This is confusing.
added after edit: having getters for properties is more consistent with "real" methods where getXXX() is not only returning a private property but doing real logic. You have the same naming. For example you have $user->getName() (returns private property) and $user->getToken($key) (computed). The day your getter gets more than a getter and needs to do some logic, everything is still consistent.
Finally, and this is the biggest problem IMO : this is magic. And magic is very very bad, because you have to know how the magic works to use it properly. That's a problem I've met in a team: everybody has to understand the magic, not just you.
Getters and setters are a pain to write (I hate them) but they are worth it.