72171614945 has 16 divisors (see below), whose sum is σ = 87969097872. Its totient is φ = 56835129600.

The previous prime is 72171614917. The next prime is 72171614947. The reversal of 72171614945 is 54941617127.

It can be written as a sum of positive squares in 8 ways, for example, as 629809216 + 71541805729 = 25096^2 + 267473^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72171614945 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72171614945.

It is not an unprimeable number, because it can be changed into a prime (72171614947) 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, 325682 + ... + 500411.

It is an arithmetic number, because the mean of its divisors is an integer number (5498068617).

Almost surely, 2^72171614945 is an apocalyptic number.

It is an amenable number.

72171614945 is a deficient number, since it is larger than the sum of its proper divisors (15797482927).

72171614945 is a wasteful number, since it uses less digits than its factorization.

72171614945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826372.

The product of its digits is 423360, while the sum is 47.

The spelling of 72171614945 in words is "seventy-two billion, one hundred seventy-one million, six hundred fourteen thousand, nine hundred forty-five".