Euler Phi Function of 270

Example of Use of Euler $\phi$ Function

 * $\phi \left({270}\right) = 72$

where $\phi$ denotes the Euler $\phi$ Function.

Proof
From Euler Phi Function of Integer:
 * $\displaystyle \phi \left({n}\right) = n \prod_{p \mathop \backslash n} \left({1 - \frac 1 p}\right)$

where $p \mathop \backslash n$ denotes the primes which divide $n$.

We have that:
 * $270 = 3 \times 3^3 \times 5$

Thus: