112718088 has 128 divisors (see below), whose sum is σ = 361267200. Its totient is φ = 31897152.

The previous prime is 112718083. The next prime is 112718113. The reversal of 112718088 is 880817211.

112718088 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

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

It is not an unprimeable number, because it can be changed into a prime (112718083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191731 + ... + 192317.

It is an arithmetic number, because the mean of its divisors is an integer number (2822400).

Almost surely, 2^112718088 is an apocalyptic number.

112718088 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 112718088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180633600).

112718088 is an abundant number, since it is smaller than the sum of its proper divisors (248549112).

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

112718088 is a wasteful number, since it uses less digits than its factorization.

112718088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 36.

The square root of 112718088 is about 10616.8775070639. The cubic root of 112718088 is about 483.0564341297.

The spelling of 112718088 in words is "one hundred twelve million, seven hundred eighteen thousand, eighty-eight".