72580931 has 8 divisors (see below), whose sum is σ = 76800720. Its totient is φ = 68401152.

The previous prime is 72580919. The next prime is 72580933. The reversal of 72580931 is 13908527.

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

It is a cyclic number.

It is not a de Polignac number, because 72580931 - 2⁶ = 72580867 is a prime.

It is a super-2 number, since 2×72580931² = 10535983089653522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72580891 and 72580900.

It is not an unprimeable number, because it can be changed into a prime (72580933) 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, 6230 + ... + 13563.

It is an arithmetic number, because the mean of its divisors is an integer number (9600090).

Almost surely, 2^72580931 is an apocalyptic number.

72580931 is a deficient number, since it is larger than the sum of its proper divisors (4219789).

72580931 is a wasteful number, since it uses less digits than its factorization.

72580931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20005.

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 72580931 is about 8519.4442893888. Note that the first 3 decimals coincide. The cubic root of 72580931 is about 417.1326439799.

The spelling of 72580931 in words is "seventy-two million, five hundred eighty thousand, nine hundred thirty-one".