72762560 has 56 divisors (see below), whose sum is σ = 186604656. Its totient is φ = 26864640.

The previous prime is 72762553. The next prime is 72762563. The reversal of 72762560 is 6526727.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 72762560.

It is not an unprimeable number, because it can be changed into a prime (72762563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4586 + ... + 12905.

It is an arithmetic number, because the mean of its divisors is an integer number (3332226).

Almost surely, 2^72762560 is an apocalyptic number.

It is an amenable number.

72762560 is an abundant number, since it is smaller than the sum of its proper divisors (113842096).

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

72762560 is a wasteful number, since it uses less digits than its factorization.

72762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17521 (or 17511 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 35.

The square root of 72762560 is about 8530.0973030793. The cubic root of 72762560 is about 417.4803031333.

The spelling of 72762560 in words is "seventy-two million, seven hundred sixty-two thousand, five hundred sixty".