72817271827 has 16 divisors (see below), whose sum is σ = 77754085920. Its totient is φ = 67955023872.

The previous prime is 72817271819. The next prime is 72817271869.

It is a happy number.

72817271827 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 72817271827 - 2³ = 72817271819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72817271887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169499 + ... + 1230187.

It is an arithmetic number, because the mean of its divisors is an integer number (4859630370).

Almost surely, 2^72817271827 is an apocalyptic number.

72817271827 is a deficient number, since it is larger than the sum of its proper divisors (4936814093).

72817271827 is a wasteful number, since it uses less digits than its factorization.

72817271827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61302.

The product of its digits is 1229312, while the sum is 52.

The spelling of 72817271827 in words is "seventy-two billion, eight hundred seventeen million, two hundred seventy-one thousand, eight hundred twenty-seven".