112032 has 36 divisors (see below), whose sum is σ = 319410. Its totient is φ = 37248.

The previous prime is 112031. The next prime is 112061. The reversal of 112032 is 230211.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 104976 + 7056 = 324^2 + 84^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (112031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94 + ... + 482.

2¹¹²⁰³² is an apocalyptic number.

112032 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 112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159705).

112032 is an abundant number, since it is smaller than the sum of its proper divisors (207378).

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

112032 is a wasteful number, since it uses less digits than its factorization.

112032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 112032 is about 334.7118163436. The cubic root of 112032 is about 48.2074355935.

Adding to 112032 its reverse (230211), we get a palindrome (342243).

The spelling of 112032 in words is "one hundred twelve thousand, thirty-two".