72157844269056 has 384 divisors, whose sum is σ = 244405660262400. Its totient is φ = 18416744202240.

The previous prime is 72157844269039. The next prime is 72157844269127. The reversal of 72157844269056 is 65096244875127.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×72157844269056² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15250615 + ... + 19413833.

It is an arithmetic number, because the mean of its divisors is an integer number (636473073600).

Almost surely, 2^{72157844269056} 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 72157844269056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122202830131200).

72157844269056 is an abundant number, since it is smaller than the sum of its proper divisors (172247815993344).

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

72157844269056 is a wasteful number, since it uses less digits than its factorization.

72157844269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4163295 (or 4163275 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 66.

The spelling of 72157844269056 in words is "seventy-two trillion, one hundred fifty-seven billion, eight hundred forty-four million, two hundred sixty-nine thousand, fifty-six".