72567131 has 16 divisors (see below), whose sum is σ = 90116544. Its totient is φ = 56899584.

The previous prime is 72567113. The next prime is 72567161. The reversal of 72567131 is 13176527.

It is not a de Polignac number, because 72567131 - 2¹⁰ = 72566107 is a prime.

It is a super-2 number, since 2×72567131² = 10531977003142322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72567161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6755 + ... + 13811.

It is an arithmetic number, because the mean of its divisors is an integer number (5632284).

Almost surely, 2^72567131 is an apocalyptic number.

72567131 is a deficient number, since it is larger than the sum of its proper divisors (17549413).

72567131 is a wasteful number, since it uses less digits than its factorization.

72567131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7190.

The product of its digits is 8820, while the sum is 32.

The square root of 72567131 is about 8518.6343389067. The cubic root of 72567131 is about 417.1062054683.

The spelling of 72567131 in words is "seventy-two million, five hundred sixty-seven thousand, one hundred thirty-one".