72788225 has 12 divisors (see below), whose sum is σ = 90433200. Its totient is φ = 58117200.

The previous prime is 72788153. The next prime is 72788249. The reversal of 72788225 is 52288727.

It is a happy number.

It is not a de Polignac number, because 72788225 - 2¹⁰ = 72787201 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11726 + ... + 16824.

It is an arithmetic number, because the mean of its divisors is an integer number (7536100).

Almost surely, 2^72788225 is an apocalyptic number.

It is an amenable number.

72788225 is a deficient number, since it is larger than the sum of its proper divisors (17644975).

72788225 is a wasteful number, since it uses less digits than its factorization.

72788225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5680 (or 5675 counting only the distinct ones).

The product of its digits is 125440, while the sum is 41.

The square root of 72788225 is about 8531.6015495334. The cubic root of 72788225 is about 417.5293822772.

The spelling of 72788225 in words is "seventy-two million, seven hundred eighty-eight thousand, two hundred twenty-five".