72187405992 has 96 divisors (see below), whose sum is σ = 212631499080. Its totient is φ = 21991564800.

The previous prime is 72187405991. The next prime is 72187405993. The reversal of 72187405992 is 29950478127.

72187405992 is a `hidden beast` number, since 7 + 2 + 1 + 8 + 7 + 40 + 599 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (72187405991) and next prime (72187405993).

It can be written as a sum of positive squares in 4 ways, for example, as 52118150436 + 20069255556 = 228294^2 + 141666^2 .

It is a super-2 number, since 2×72187405992² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72187405991) 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 23 ways as a sum of consecutive naturals, for example, 287263 + ... + 476334.

Almost surely, 2^72187405992 is an apocalyptic number.

72187405992 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72187405992 is an abundant number, since it is smaller than the sum of its proper divisors (140444093088).

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

72187405992 is a wasteful number, since it uses less digits than its factorization.

72187405992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763723 (or 763716 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 72187405992 in words is "seventy-two billion, one hundred eighty-seven million, four hundred five thousand, nine hundred ninety-two".