72656318952 has 320 divisors, whose sum is σ = 241379550720. Its totient is φ = 19985190912.

The previous prime is 72656318941. The next prime is 72656318963. The reversal of 72656318952 is 25981365627.

72656318952 is a `hidden beast` number, since 7 + 26 + 563 + 1 + 8 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (72656318941) and next prime (72656318963).

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 79 ways as a sum of consecutive naturals, for example, 16277473 + ... + 16281935.

It is an arithmetic number, because the mean of its divisors is an integer number (754311096).

Almost surely, 2^72656318952 is an apocalyptic number.

72656318952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72656318952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120689775360).

72656318952 is an abundant number, since it is smaller than the sum of its proper divisors (168723231768).

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

72656318952 is a wasteful number, since it uses less digits than its factorization.

72656318952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4622 (or 4609 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 54.

The spelling of 72656318952 in words is "seventy-two billion, six hundred fifty-six million, three hundred eighteen thousand, nine hundred fifty-two".