72591968 has 24 divisors (see below), whose sum is σ = 143178840. Its totient is φ = 36229120.

The previous prime is 72591943. The next prime is 72591973. The reversal of 72591968 is 86919527.

It is a super-2 number, since 2×72591968² = 10539187636226048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18743 + ... + 22281.

It is an arithmetic number, because the mean of its divisors is an integer number (5965785).

Almost surely, 2^72591968 is an apocalyptic number.

It is an amenable number.

72591968 is a deficient number, since it is larger than the sum of its proper divisors (70586872).

72591968 is a wasteful number, since it uses less digits than its factorization.

72591968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190 (or 4182 counting only the distinct ones).

The product of its digits is 272160, while the sum is 47.

The square root of 72591968 is about 8520.0920182824. The cubic root of 72591968 is about 417.1537866298.

The spelling of 72591968 in words is "seventy-two million, five hundred ninety-one thousand, nine hundred sixty-eight".