112902720 has 224 divisors, whose sum is σ = 418722048. Its totient is φ = 25239552.

The previous prime is 112902703. The next prime is 112902739. The reversal of 112902720 is 27209211.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 356002 + ... + 356318.

Almost surely, 2^112902720 is an apocalyptic number.

112902720 is a gapful number since it is divisible by the number (10) 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 112902720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209361024).

112902720 is an abundant number, since it is smaller than the sum of its proper divisors (305819328).

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

112902720 is a wasteful number, since it uses less digits than its factorization.

112902720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 112902720 is about 10625.5691612261. The cubic root of 112902720 is about 483.3200387412.

The spelling of 112902720 in words is "one hundred twelve million, nine hundred two thousand, seven hundred twenty".