112727160 has 512 divisors, whose sum is σ = 490291200. Its totient is φ = 22394880.

The previous prime is 112727149. The next prime is 112727161. The reversal of 112727160 is 61727211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112727161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3046662 + ... + 3046698.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 2^112727160 is an apocalyptic number.

112727160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112727160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245145600).

112727160 is an abundant number, since it is smaller than the sum of its proper divisors (377564040).

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

112727160 is a wasteful number, since it uses less digits than its factorization.

112727160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 112727160 is about 10617.3047427301. The cubic root of 112727160 is about 483.0693932163.

The spelling of 112727160 in words is "one hundred twelve million, seven hundred twenty-seven thousand, one hundred sixty".