72565431 has 8 divisors (see below), whose sum is σ = 98079600. Its totient is φ = 47714112.

The previous prime is 72565429. The next prime is 72565433. The reversal of 72565431 is 13456527.

It is an interprime number because it is at equal distance from previous prime (72565429) and next prime (72565433).

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

It is not a de Polignac number, because 72565431 - 2¹ = 72565429 is a prime.

It is a super-2 number, since 2×72565431² = 10531483552431522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72565392 and 72565401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72565433) 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 7 ways as a sum of consecutive naturals, for example, 165456 + ... + 165893.

It is an arithmetic number, because the mean of its divisors is an integer number (12259950).

Almost surely, 2^72565431 is an apocalyptic number.

72565431 is a deficient number, since it is larger than the sum of its proper divisors (25514169).

72565431 is a wasteful number, since it uses less digits than its factorization.

72565431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331425.

The product of its digits is 25200, while the sum is 33.

The square root of 72565431 is about 8518.5345570702. The cubic root of 72565431 is about 417.1029483183.

The spelling of 72565431 in words is "seventy-two million, five hundred sixty-five thousand, four hundred thirty-one".