72057000876 has 48 divisors (see below), whose sum is σ = 192181866240. Its totient is φ = 20584514880.

The previous prime is 72057000859. The next prime is 72057000919. The reversal of 72057000876 is 67800075027.

72057000876 is a nontrivial binomial coefficient, being equal to C(379624, 2).

It is a super-2 number, since 2×72057000876² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 506166 + ... + 632706.

It is an arithmetic number, because the mean of its divisors is an integer number (4003788880).

Almost surely, 2^72057000876 is an apocalyptic number.

72057000876 is the 379623-rd triangular number and also the 189812-nd hexagonal number.

It is an amenable number.

72057000876 is an abundant number, since it is smaller than the sum of its proper divisors (120124865364).

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

72057000876 is a wasteful number, since it uses less digits than its factorization.

72057000876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133334 (or 133332 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 42.

The spelling of 72057000876 in words is "seventy-two billion, fifty-seven million, eight hundred seventy-six", and thus it is an aban number.