112592 has 20 divisors (see below), whose sum is σ = 226176. Its totient is φ = 54240.

The previous prime is 112589. The next prime is 112601. The reversal of 112592 is 295211.

112592 is an admirable number.

112592 is a modest number, since divided by 592 gives 112 as remainder.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 112592.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 383 + ... + 609.

2¹¹²⁵⁹² 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 112592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113088).

112592 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

112592 is a wasteful number, since it uses less digits than its factorization.

112592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its digits is 180, while the sum is 20.

The square root of 112592 is about 335.5473141004. The cubic root of 112592 is about 48.2876249075.

The spelling of 112592 in words is "one hundred twelve thousand, five hundred ninety-two".