112876736 has 56 divisors (see below), whose sum is σ = 271064736. Its totient is φ = 45527040.

The previous prime is 112876727. The next prime is 112876741. The reversal of 112876736 is 637678211.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 112876693 and 112876702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206 + ... + 15026.

Almost surely, 2^112876736 is an apocalyptic number.

112876736 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 112876736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135532368).

112876736 is an abundant number, since it is smaller than the sum of its proper divisors (158188000).

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

112876736 is a wasteful number, since it uses less digits than its factorization.

112876736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14857 (or 14847 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 112876736 is about 10624.3463798956. The cubic root of 112876736 is about 483.2829579946.

The spelling of 112876736 in words is "one hundred twelve million, eight hundred seventy-six thousand, seven hundred thirty-six".