112632 has 48 divisors (see below), whose sum is σ = 320040. Its totient is φ = 32832.

The previous prime is 112621. The next prime is 112643. The reversal of 112632 is 236211.

112632 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (112621) and next prime (112643).

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

It is a plaindrome in base 15.

It is a nialpdrome in base 12.

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 112632.

It is an unprimeable number.

112632 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, 5919 + ... + 5937.

2¹¹²⁶³² is an apocalyptic number.

112632 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 112632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160020).

112632 is an abundant number, since it is smaller than the sum of its proper divisors (207408).

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

112632 is a wasteful number, since it uses less digits than its factorization.

112632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 37 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 112632 is about 335.6069129205. The cubic root of 112632 is about 48.2933425319.

Adding to 112632 its reverse (236211), we get a palindrome (348843).

The spelling of 112632 in words is "one hundred twelve thousand, six hundred thirty-two".