112755288 has 64 divisors (see below), whose sum is σ = 305458560. Its totient is φ = 34546176.

The previous prime is 112755287. The next prime is 112755301. The reversal of 112755288 is 882557211.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112755287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14331 + ... + 20757.

It is an arithmetic number, because the mean of its divisors is an integer number (4772790).

Almost surely, 2^112755288 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 112755288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152729280).

112755288 is an abundant number, since it is smaller than the sum of its proper divisors (192703272).

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

112755288 is a wasteful number, since it uses less digits than its factorization.

112755288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6496 (or 6492 counting only the distinct ones).

The product of its digits is 44800, while the sum is 39.

The square root of 112755288 is about 10618.6292900732. The cubic root of 112755288 is about 483.1095688223.

The spelling of 112755288 in words is "one hundred twelve million, seven hundred fifty-five thousand, two hundred eighty-eight".