72149475827 has 16 divisors (see below), whose sum is σ = 89224235520. Its totient is φ = 57358432800.

The previous prime is 72149475817. The next prime is 72149475829. The reversal of 72149475827 is 72857494127.

It is a cyclic number.

It is not a de Polignac number, because 72149475827 - 2¹⁴ = 72149459443 is a prime.

It is a super-2 number, since 2×72149475827² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72149475829) 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, 13274699 + ... + 13280132.

It is an arithmetic number, because the mean of its divisors is an integer number (5576514720).

Almost surely, 2^72149475827 is an apocalyptic number.

72149475827 is a deficient number, since it is larger than the sum of its proper divisors (17074759693).

72149475827 is a wasteful number, since it uses less digits than its factorization.

72149475827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26554874.

The product of its digits is 7902720, while the sum is 56.

The spelling of 72149475827 in words is "seventy-two billion, one hundred forty-nine million, four hundred seventy-five thousand, eight hundred twenty-seven".