72824760 has 48 divisors (see below), whose sum is σ = 236681640. Its totient is φ = 19419840.

The previous prime is 72824749. The next prime is 72824767. The reversal of 72824760 is 6742827.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72824767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100786 + ... + 101505.

Almost surely, 2^72824760 is an apocalyptic number.

It is an amenable number.

72824760 is an abundant number, since it is smaller than the sum of its proper divisors (163856880).

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

72824760 is a wasteful number, since it uses less digits than its factorization.

72824760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202308 (or 202301 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 72824760 is about 8533.7424381100. The cubic root of 72824760 is about 417.5992282101.

The spelling of 72824760 in words is "seventy-two million, eight hundred twenty-four thousand, seven hundred sixty".