That is true, in the pedantic sense but zero has many properties that other numbers do not.
In particular, zero is the additive identity [0] in almost all the "usual" number systems in which it appears. That is roughly speaking, it is the only A such that X + A = X, for all X, where X and A are elements of the number system (e.g. field of real/complex numbers).
You might be thinking of the rational numbers (excluding zero).
Looks like I need to play Group or Not Group.
But then even for addition what's the inverse of 0? -0?
PS: A monoid in which each element has an inverse is a group.