112626756 has 72 divisors (see below), whose sum is σ = 326944800. Its totient is φ = 32330880.

The previous prime is 112626743. The next prime is 112626769. The reversal of 112626756 is 657626211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112626743) and next prime (112626769).

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

It is a self number, because there is not a number n which added to its sum of digits gives 112626756.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40 + ... + 15008.

It is an arithmetic number, because the mean of its divisors is an integer number (4540900).

Almost surely, 2^112626756 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 112626756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163472400).

112626756 is an abundant number, since it is smaller than the sum of its proper divisors (214318044).

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

112626756 is a wasteful number, since it uses less digits than its factorization.

112626756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15009 (or 15004 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 112626756 is about 10612.5753707571. The cubic root of 112626756 is about 482.9259302849.

Adding to 112626756 its product of digits (30240), we get a square (112656996 = 10614²).

The spelling of 112626756 in words is "one hundred twelve million, six hundred twenty-six thousand, seven hundred fifty-six".