72830623431 has 8 divisors (see below), whose sum is σ = 97195541760. Its totient is φ = 48509727032.

The previous prime is 72830623421. The next prime is 72830623469. The reversal of 72830623431 is 13432603827.

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 72830623431 - 2²⁹ = 72293752519 is a prime.

It is a super-2 number, since 2×72830623431² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72830623431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72830623421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11001621 + ... + 11008238.

It is an arithmetic number, because the mean of its divisors is an integer number (12149442720).

Almost surely, 2^72830623431 is an apocalyptic number.

72830623431 is a deficient number, since it is larger than the sum of its proper divisors (24364918329).

72830623431 is a wasteful number, since it uses less digits than its factorization.

72830623431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22010965.

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 72830623431 in words is "seventy-two billion, eight hundred thirty million, six hundred twenty-three thousand, four hundred thirty-one".