72761210431 has 16 divisors (see below), whose sum is σ = 91241930304. Its totient is φ = 56483092224.

The previous prime is 72761210413. The next prime is 72761210527. The reversal of 72761210431 is 13401216727.

It is not a de Polignac number, because 72761210431 - 2¹⁵ = 72761177663 is a prime.

It is a super-2 number, since 2×72761210431² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72761210131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7538326 + ... + 7547971.

It is an arithmetic number, because the mean of its divisors is an integer number (5702620644).

Almost surely, 2^72761210431 is an apocalyptic number.

72761210431 is a deficient number, since it is larger than the sum of its proper divisors (18480719873).

72761210431 is a wasteful number, since it uses less digits than its factorization.

72761210431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15086370.

The product of its (nonzero) digits is 14112, while the sum is 34.

The spelling of 72761210431 in words is "seventy-two billion, seven hundred sixty-one million, two hundred ten thousand, four hundred thirty-one".