112392 has 48 divisors (see below), whose sum is σ = 349440. Its totient is φ = 31968.

The previous prime is 112363. The next prime is 112397. The reversal of 112392 is 293211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112397) by changing a digit.

112392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393 + ... + 615.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2¹¹²³⁹² is an apocalyptic number.

112392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

112392 is the 168-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174720).

112392 is an abundant number, since it is smaller than the sum of its proper divisors (237048).

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

112392 is a wasteful number, since it uses less digits than its factorization.

112392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 235 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 112392 is about 335.2491610728. The cubic root of 112392 is about 48.2590164542.

The spelling of 112392 in words is "one hundred twelve thousand, three hundred ninety-two".