72771702432 has 384 divisors, whose sum is σ = 232833097728. Its totient is φ = 19599667200.

The previous prime is 72771702413. The next prime is 72771702503. The reversal of 72771702432 is 23420717727.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 130649098 + ... + 130649654.

It is an arithmetic number, because the mean of its divisors is an integer number (606336192).

Almost surely, 2^72771702432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72771702432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116416548864).

72771702432 is an abundant number, since it is smaller than the sum of its proper divisors (160061395296).

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

72771702432 is a wasteful number, since it uses less digits than its factorization.

72771702432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 230496, while the sum is 42.

The spelling of 72771702432 in words is "seventy-two billion, seven hundred seventy-one million, seven hundred two thousand, four hundred thirty-two".