72813513 has 8 divisors (see below), whose sum is σ = 100216576. Its totient is φ = 46976400.

The previous prime is 72813509. The next prime is 72813541. The reversal of 72813513 is 31531827.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72813513 - 2² = 72813509 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72813313) 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 7 ways as a sum of consecutive naturals, for example, 391378 + ... + 391563.

It is an arithmetic number, because the mean of its divisors is an integer number (12527072).

Almost surely, 2^72813513 is an apocalyptic number.

It is an amenable number.

72813513 is a deficient number, since it is larger than the sum of its proper divisors (27403063).

72813513 is a wasteful number, since it uses less digits than its factorization.

72813513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782975.

The product of its digits is 5040, while the sum is 30.

The square root of 72813513 is about 8533.0834403514. The cubic root of 72813513 is about 417.5777292020.

It can be divided in two parts, 728 and 13513, that added together give a palindrome (14241).

The spelling of 72813513 in words is "seventy-two million, eight hundred thirteen thousand, five hundred thirteen".