72596142593568 has 576 divisors, whose sum is σ = 234495873763200. Its totient is φ = 21833029785600.

The previous prime is 72596142593519. The next prime is 72596142593573. The reversal of 72596142593568 is 86539524169527.

72596142593568 is a `hidden beast` number, since 7 + 2 + 5 + 9 + 6 + 1 + 4 + 2 + 59 + 3 + 568 = 666.

It is a Cunningham number, because it is equal to 8520337²-1.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72596142593496 and 72596142593505.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13990389118 + ... + 13990394306.

It is an arithmetic number, because the mean of its divisors is an integer number (407110891950).

Almost surely, 2^{72596142593568} 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 72596142593568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117247936881600).

72596142593568 is an abundant number, since it is smaller than the sum of its proper divisors (161899731169632).

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

72596142593568 is a wasteful number, since it uses less digits than its factorization.

72596142593568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6214 (or 6189 counting only the distinct ones).

The product of its digits is 979776000, while the sum is 72.

The spelling of 72596142593568 in words is "seventy-two trillion, five hundred ninety-six billion, one hundred forty-two million, five hundred ninety-three thousand, five hundred sixty-eight".