72824520 has 64 divisors (see below), whose sum is σ = 219193920. Its totient is φ = 19355904.

The previous prime is 72824513. The next prime is 72824527. The reversal of 72824520 is 2542827.

It is an interprime number because it is at equal distance from previous prime (72824513) and next prime (72824527).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72824527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43947 + ... + 45573.

It is an arithmetic number, because the mean of its divisors is an integer number (3424905).

Almost surely, 2^72824520 is an apocalyptic number.

It is an amenable number.

72824520 is an abundant number, since it is smaller than the sum of its proper divisors (146369400).

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

72824520 is a wasteful number, since it uses less digits than its factorization.

72824520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 72824520 is about 8533.7283762726. The cubic root of 72824520 is about 417.5987694654.

The spelling of 72824520 in words is "seventy-two million, eight hundred twenty-four thousand, five hundred twenty".