72893225 has 18 divisors (see below), whose sum is σ = 91910970. Its totient is φ = 57340800.

The previous prime is 72893209. The next prime is 72893237. The reversal of 72893225 is 52239827.

It can be written as a sum of positive squares in 9 ways, for example, as 70291456 + 2601769 = 8384^2 + 1613^2 .

It is not a de Polignac number, because 72893225 - 2⁴ = 72893209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 402635 + ... + 402815.

It is an arithmetic number, because the mean of its divisors is an integer number (5106165).

Almost surely, 2^72893225 is an apocalyptic number.

It is an amenable number.

72893225 is a deficient number, since it is larger than the sum of its proper divisors (19017745).

72893225 is an equidigital number, since it uses as much as digits as its factorization.

72893225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 275 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 72893225 is about 8537.7529245112. The cubic root of 72893225 is about 417.7300535689.

The spelling of 72893225 in words is "seventy-two million, eight hundred ninety-three thousand, two hundred twenty-five".