112572144 has 60 divisors (see below), whose sum is σ = 321768096. Its totient is φ = 36723456.

The previous prime is 112572137. The next prime is 112572157. The reversal of 112572144 is 441275211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1549 + ... + 15084.

Almost surely, 2^112572144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112572144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160884048).

112572144 is an abundant number, since it is smaller than the sum of its proper divisors (209195952).

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

112572144 is a wasteful number, since it uses less digits than its factorization.

112572144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16694 (or 16685 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 112572144 is about 10610.0020735153. The cubic root of 112572144 is about 482.8478617579.

The spelling of 112572144 in words is "one hundred twelve million, five hundred seventy-two thousand, one hundred forty-four".