72575991 has 24 divisors (see below), whose sum is σ = 113917440. Its totient is φ = 44355600.

The previous prime is 72575977. The next prime is 72575999. The reversal of 72575991 is 19957527.

72575991 is a `hidden beast` number, since 7 + 2 + 57 + 599 + 1 = 666.

It is not a de Polignac number, because 72575991 - 2⁶ = 72575927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72575999) 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 23 ways as a sum of consecutive naturals, for example, 1545 + ... + 12146.

It is an arithmetic number, because the mean of its divisors is an integer number (4746560).

Almost surely, 2^72575991 is an apocalyptic number.

72575991 is a deficient number, since it is larger than the sum of its proper divisors (41341449).

72575991 is a wasteful number, since it uses less digits than its factorization.

72575991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13747 (or 13744 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 72575991 is about 8519.1543594420. The cubic root of 72575991 is about 417.1231801442.

The spelling of 72575991 in words is "seventy-two million, five hundred seventy-five thousand, nine hundred ninety-one".