72957819 has 16 divisors (see below), whose sum is σ = 108710784. Its totient is φ = 43137600.

The previous prime is 72957809. The next prime is 72957869. The reversal of 72957819 is 91875927.

It is not a de Polignac number, because 72957819 - 2⁹ = 72957307 is a prime.

It is a super-2 number, since 2×72957819² = 10645686706473522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72957809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25609 + ... + 28314.

It is an arithmetic number, because the mean of its divisors is an integer number (6794424).

Almost surely, 2^72957819 is an apocalyptic number.

72957819 is a deficient number, since it is larger than the sum of its proper divisors (35752965).

72957819 is a wasteful number, since it uses less digits than its factorization.

72957819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53978.

The product of its digits is 317520, while the sum is 48.

The square root of 72957819 is about 8541.5349323175. The cubic root of 72957819 is about 417.8534070025.

The spelling of 72957819 in words is "seventy-two million, nine hundred fifty-seven thousand, eight hundred nineteen".