72112122032160 has 144 divisors (see below), whose sum is σ = 264239418675456. Its totient is φ = 16482770744832.

The previous prime is 72112122032129. The next prime is 72112122032161. The reversal of 72112122032160 is 6123022121127.

It is a super-2 number, since 2×72112122032160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (72112122032161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1532972272 + ... + 1533019311.

It is an arithmetic number, because the mean of its divisors is an integer number (1834995963024).

Almost surely, 2^{72112122032160} is an apocalyptic number.

72112122032160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72112122032160 is an abundant number, since it is smaller than the sum of its proper divisors (192127296643296).

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

72112122032160 is a wasteful number, since it uses less digits than its factorization.

72112122032160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065991615 (or 3065991600 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 72112122032160 its reverse (6123022121127), we get a palindrome (78235144153287).

The spelling of 72112122032160 in words is "seventy-two trillion, one hundred twelve billion, one hundred twenty-two million, thirty-two thousand, one hundred sixty".