112862736 has 240 divisors, whose sum is σ = 389975040. Its totient is φ = 29756160.

The previous prime is 112862719. The next prime is 112862759. The reversal of 112862736 is 637268211.

112862736 is a `hidden beast` number, since 1 + 1 + 28 + 627 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112862736.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1359751 + ... + 1359833.

It is an arithmetic number, because the mean of its divisors is an integer number (1624896).

Almost surely, 2^112862736 is an apocalyptic number.

112862736 is a gapful number since it is divisible by the number (16) 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 112862736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194987520).

112862736 is an abundant number, since it is smaller than the sum of its proper divisors (277112304).

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

112862736 is a wasteful number, since it uses less digits than its factorization.

112862736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 112862736 is about 10623.6874954038. The cubic root of 112862736 is about 483.2629767851.

The spelling of 112862736 in words is "one hundred twelve million, eight hundred sixty-two thousand, seven hundred thirty-six".