112788 has 36 divisors (see below), whose sum is σ = 308308. Its totient is φ = 34560.

The previous prime is 112787. The next prime is 112799. The reversal of 112788 is 887211.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 63504 = 222^2 + 252^2 .

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

It is a super-2 number, since 2×112788² = 25442265888, which contains 22 as substring.

It is a plaindrome in base 10.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112787) 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, 348 + ... + 588.

2¹¹²⁷⁸⁸ is an apocalyptic number.

112788 is a gapful number since it is divisible by the number (18) 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 112788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154154).

112788 is an abundant number, since it is smaller than the sum of its proper divisors (195520).

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

112788 is a wasteful number, since it uses less digits than its factorization.

112788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 259 counting only the distinct ones).

The product of its digits is 896, while the sum is 27.

The square root of 112788 is about 335.8392472598. The cubic root of 112788 is about 48.3156283415.

Adding to 112788 its reverse (887211), we get a palindrome (999999).

It can be divided in two parts, 112 and 788, that added together give a square (900 = 30²).

The spelling of 112788 in words is "one hundred twelve thousand, seven hundred eighty-eight".