112752 has 60 divisors (see below), whose sum is σ = 338520. Its totient is φ = 36288.

The previous prime is 112741. The next prime is 112757. The reversal of 112752 is 257211.

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

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 112752.

It is not an unprimeable number, because it can be changed into a prime (112757) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3874 + ... + 3902.

It is an arithmetic number, because the mean of its divisors is an integer number (5642).

2¹¹²⁷⁵² is an apocalyptic number.

112752 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 112752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169260).

112752 is an abundant number, since it is smaller than the sum of its proper divisors (225768).

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

112752 is an equidigital number, since it uses as much as digits as its factorization.

112752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 34 counting only the distinct ones).

The product of its digits is 140, while the sum is 18.

The square root of 112752 is about 335.7856459112. The cubic root of 112752 is about 48.3104872872.

Adding to 112752 its reverse (257211), we get a palindrome (369963).

The spelling of 112752 in words is "one hundred twelve thousand, seven hundred fifty-two".