72924829286382 has 96 divisors (see below), whose sum is σ = 163023188904576. Its totient is φ = 23546099304000.

The previous prime is 72924829286147. The next prime is 72924829286383. The reversal of 72924829286382 is 28368292842927.

72924829286382 is a `hidden beast` number, since 7 + 2 + 9 + 2 + 4 + 82 + 92 + 86 + 382 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72924829286382.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72924829286383) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57533757 + ... + 58787607.

It is an arithmetic number, because the mean of its divisors is an integer number (1698158217756).

Almost surely, 2^{72924829286382} is an apocalyptic number.

72924829286382 is an abundant number, since it is smaller than the sum of its proper divisors (90098359618194).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72924829286382 is a wasteful number, since it uses less digits than its factorization.

72924829286382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254526 (or 1254523 counting only the distinct ones).

The product of its digits is 668860416, while the sum is 72.

The spelling of 72924829286382 in words is "seventy-two trillion, nine hundred twenty-four billion, eight hundred twenty-nine million, two hundred eighty-six thousand, three hundred eighty-two".