112657272 has 96 divisors (see below), whose sum is σ = 352875600. Its totient is φ = 29707776.

The previous prime is 112657253. The next prime is 112657297. The reversal of 112657272 is 272756211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11604 + ... + 18972.

Almost surely, 2^112657272 is an apocalyptic number.

112657272 is a gapful number since it is divisible by the number (12) 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 112657272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176437800).

112657272 is an abundant number, since it is smaller than the sum of its proper divisors (240218328).

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

112657272 is a wasteful number, since it uses less digits than its factorization.

112657272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7405 (or 7394 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 112657272 is about 10614.0130016879. The cubic root of 112657272 is about 482.9695422928.

The spelling of 112657272 in words is "one hundred twelve million, six hundred fifty-seven thousand, two hundred seventy-two".