112536 has 32 divisors (see below), whose sum is σ = 313200. Its totient is φ = 37440.

The previous prime is 112507. The next prime is 112543. The reversal of 112536 is 635211.

112536 is nontrivially palindromic in base 5.

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

It is a congruent number.

It is an unprimeable number.

112536 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 7 ways as a sum of consecutive naturals, for example, 45 + ... + 476.

112536 is a Friedman number, since it can be written as 521*6^3*1, using all its digits and the basic arithmetic operations.

2¹¹²⁵³⁶ 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 112536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156600).

112536 is an abundant number, since it is smaller than the sum of its proper divisors (200664).

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

112536 is a wasteful number, since it uses less digits than its factorization.

112536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 112536 is about 335.4638579639. The cubic root of 112536 is about 48.2796179578.

Adding to 112536 its reverse (635211), we get a palindrome (747747).

The spelling of 112536 in words is "one hundred twelve thousand, five hundred thirty-six".