72936372456 has 64 divisors (see below), whose sum is σ = 204058680000. Its totient is φ = 24137206848.

The previous prime is 72936372449. The next prime is 72936372473. The reversal of 72936372456 is 65427363927.

72936372456 is a `hidden beast` number, since 72 + 93 + 6 + 37 + 2 + 456 = 666.

It is a super-3 number, since 3×72936372456³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1184611 + ... + 1244658.

It is an arithmetic number, because the mean of its divisors is an integer number (3188416875).

Almost surely, 2^72936372456 is an apocalyptic number.

It is an amenable number.

72936372456 is an abundant number, since it is smaller than the sum of its proper divisors (131122307544).

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

72936372456 is a wasteful number, since it uses less digits than its factorization.

72936372456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429423 (or 2429413 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 72936372456 in words is "seventy-two billion, nine hundred thirty-six million, three hundred seventy-two thousand, four hundred fifty-six".