112540160772 has 72 divisors (see below), whose sum is σ = 306402585216. Its totient is φ = 34622852544.

The previous prime is 112540160753. The next prime is 112540160819. The reversal of 112540160772 is 277061045211.

112540160772 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 40 + 1 + 607 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4699413 + ... + 4723299.

Almost surely, 2^112540160772 is an apocalyptic number.

112540160772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112540160772 is an abundant number, since it is smaller than the sum of its proper divisors (193862424444).

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

112540160772 is a wasteful number, since it uses less digits than its factorization.

112540160772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33977 (or 33972 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 112540160772 in words is "one hundred twelve billion, five hundred forty million, one hundred sixty thousand, seven hundred seventy-two".