72256647152881 has 27 divisors (see below), whose sum is σ = 81012608262369. Its totient is φ = 64424531392128.

The previous prime is 72256647152873. The next prime is 72256647152891. The reversal of 72256647152881 is 18825174665227.

The square root of 72256647152881 is 8500391.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 13178054365281 + 59078592787600 = 3630159^2 + 7686260^2 .

It is not a de Polignac number, because 72256647152881 - 2³ = 72256647152873 is a prime.

It is a super-2 number, since 2×72256647152881² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72256647152801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2745613135 + ... + 2745639451.

Almost surely, 2^{72256647152881} is an apocalyptic number.

72256647152881 is the 8500391-st square number.

72256647152881 is the 4250196-th centered octagonal number.

It is an amenable number.

72256647152881 is a deficient number, since it is larger than the sum of its proper divisors (8755961109488).

72256647152881 is an frugal number, since it uses more digits than its factorization.

72256647152881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52706 (or 26353 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 64.

The spelling of 72256647152881 in words is "seventy-two trillion, two hundred fifty-six billion, six hundred forty-seven million, one hundred fifty-two thousand, eight hundred eighty-one".