72218500225 has 27 divisors (see below), whose sum is σ = 90950130921. Its totient is φ = 56885824800.

The previous prime is 72218500201. The next prime is 72218500261. The reversal of 72218500225 is 52200581227.

The square root of 72218500225 is 268735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 38155329 + 72180344896 = 6177^2 + 268664^2 .

It is not a de Polignac number, because 72218500225 - 2⁷ = 72218500097 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 95400547 + ... + 95401303.

Almost surely, 2^72218500225 is an apocalyptic number.

72218500225 is the 268735-th square number.

72218500225 is the 134368-th centered octagonal number.

It is an amenable number.

72218500225 is a deficient number, since it is larger than the sum of its proper divisors (18731630696).

72218500225 is an frugal number, since it uses more digits than its factorization.

72218500225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The spelling of 72218500225 in words is "seventy-two billion, two hundred eighteen million, five hundred thousand, two hundred twenty-five".