72112181160 has 64 divisors (see below), whose sum is σ = 216441849600. Its totient is φ = 19220554496.

The previous prime is 72112181147. The next prime is 72112181161. The reversal of 72112181160 is 6118121127.

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 (72112181161) 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, 103057 + ... + 393503.

It is an arithmetic number, because the mean of its divisors is an integer number (3381903900).

Almost surely, 2^72112181160 is an apocalyptic number.

It is an amenable number.

72112181160 is an abundant number, since it is smaller than the sum of its proper divisors (144329668440).

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

72112181160 is a wasteful number, since it uses less digits than its factorization.

72112181160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292530 (or 292526 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 30.

The spelling of 72112181160 in words is "seventy-two billion, one hundred twelve million, one hundred eighty-one thousand, one hundred sixty".