72580631 has 8 divisors (see below), whose sum is σ = 73920624. Its totient is φ = 71248320.

The previous prime is 72580621. The next prime is 72580661. The reversal of 72580631 is 13608527.

It is a happy number.

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 72580631 - 2¹⁸ = 72318487 is a prime.

It is a super-2 number, since 2×72580631² = 10535895992716322, 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 (72580601) 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, 19241 + ... + 22701.

It is an arithmetic number, because the mean of its divisors is an integer number (9240078).

Almost surely, 2^72580631 is an apocalyptic number.

72580631 is a deficient number, since it is larger than the sum of its proper divisors (1339993).

72580631 is a wasteful number, since it uses less digits than its factorization.

72580631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 72580631 is about 8519.4266825884. The cubic root of 72580631 is about 417.1320692652.

The spelling of 72580631 in words is "seventy-two million, five hundred eighty thousand, six hundred thirty-one".