72172234602 has 80 divisors (see below), whose sum is σ = 174496141512. Its totient is φ = 22163880960.

The previous prime is 72172234601. The next prime is 72172234613. The reversal of 72172234602 is 20643227127.

It is a happy number.

72172234602 is a `hidden beast` number, since 7 + 2 + 17 + 2 + 2 + 34 + 602 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47904514641 + 24267719961 = 218871^2 + 155781^2 .

It is a super-2 number, since 2×72172234602² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72172234601) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1064338 + ... + 1130114.

Almost surely, 2^72172234602 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72172234602, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87248070756).

72172234602 is an abundant number, since it is smaller than the sum of its proper divisors (102323906910).

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

72172234602 is a wasteful number, since it uses less digits than its factorization.

72172234602 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66325 (or 66316 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 72172234602 in words is "seventy-two billion, one hundred seventy-two million, two hundred thirty-four thousand, six hundred two".