72788625 has 160 divisors (see below), whose sum is σ = 169128960. Its totient is φ = 30326400.

The previous prime is 72788609. The next prime is 72788633. The reversal of 72788625 is 52688727.

It is not a de Polignac number, because 72788625 - 2⁴ = 72788609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 921336 + ... + 921414.

It is an arithmetic number, because the mean of its divisors is an integer number (1057056).

Almost surely, 2^72788625 is an apocalyptic number.

72788625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72788625 is an abundant number, since it is smaller than the sum of its proper divisors (96340335).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72788625 is a wasteful number, since it uses less digits than its factorization.

72788625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 72788625 is about 8531.6249917586. The cubic root of 72788625 is about 417.5301471053.

The spelling of 72788625 in words is "seventy-two million, seven hundred eighty-eight thousand, six hundred twenty-five".