72656319 has 8 divisors (see below), whose sum is σ = 97638400. Its totient is φ = 48055896.

The previous prime is 72656267. The next prime is 72656329. The reversal of 72656319 is 91365627.

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

It is not a de Polignac number, because 72656319 - 2¹³ = 72648127 is a prime.

It is a super-2 number, since 2×72656319² = 10557881381259522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72656329) 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, 94969 + ... + 95730.

It is an arithmetic number, because the mean of its divisors is an integer number (12204800).

Almost surely, 2^72656319 is an apocalyptic number.

72656319 is a deficient number, since it is larger than the sum of its proper divisors (24982081).

72656319 is a wasteful number, since it uses less digits than its factorization.

72656319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190829.

The product of its digits is 68040, while the sum is 39.

The square root of 72656319 is about 8523.8676080756. The cubic root of 72656319 is about 417.2770157588.

The spelling of 72656319 in words is "seventy-two million, six hundred fifty-six thousand, three hundred nineteen".