72876392064 has 448 divisors, whose sum is σ = 263445877440. Its totient is φ = 19594027008.

The previous prime is 72876392059. The next prime is 72876392089. The reversal of 72876392064 is 46029367827.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a self number, because there is not a number n which added to its sum of digits gives 72876392064.

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 55 ways as a sum of consecutive naturals, for example, 11100847 + ... + 11107409.

Almost surely, 2^72876392064 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 72876392064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131722938720).

72876392064 is an abundant number, since it is smaller than the sum of its proper divisors (190569485376).

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

72876392064 is an equidigital number, since it uses as much as digits as its factorization.

72876392064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6619 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 72876392064 in words is "seventy-two billion, eight hundred seventy-six million, three hundred ninety-two thousand, sixty-four".