112365720 has 192 divisors, whose sum is σ = 387504000. Its totient is φ = 28191744.

The previous prime is 112365719. The next prime is 112365727. The reversal of 112365720 is 27563211.

It is a happy number.

112365720 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 657 + 2 + 0 = 666.

It is a super-2 number, since 2×112365720² = 25252110062236800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112365727) by changing a digit.

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, 490566 + ... + 490794.

It is an arithmetic number, because the mean of its divisors is an integer number (2018250).

Almost surely, 2^112365720 is an apocalyptic number.

112365720 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 112365720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193752000).

112365720 is an abundant number, since it is smaller than the sum of its proper divisors (275138280).

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

112365720 is a wasteful number, since it uses less digits than its factorization.

112365720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 112365720 is about 10600.2698078870. The cubic root of 112365720 is about 482.5525478131.

The spelling of 112365720 in words is "one hundred twelve million, three hundred sixty-five thousand, seven hundred twenty".