72531088567 has 16 divisors (see below), whose sum is σ = 85156391232. Its totient is φ = 60472638720.

The previous prime is 72531088559. The next prime is 72531088577. The reversal of 72531088567 is 76588013527.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72531088567 - 2³ = 72531088559 is a prime.

It is a super-2 number, since 2×72531088567² (a number of 23 digits) 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 (72531088577) 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 15 ways as a sum of consecutive naturals, for example, 956217 + ... + 1029277.

It is an arithmetic number, because the mean of its divisors is an integer number (5322274452).

Almost surely, 2^72531088567 is an apocalyptic number.

72531088567 is a deficient number, since it is larger than the sum of its proper divisors (12625302665).

72531088567 is a wasteful number, since it uses less digits than its factorization.

72531088567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76938.

The product of its (nonzero) digits is 2822400, while the sum is 52.

The spelling of 72531088567 in words is "seventy-two billion, five hundred thirty-one million, eighty-eight thousand, five hundred sixty-seven".