112590720 has 192 divisors, whose sum is σ = 424373040. Its totient is φ = 27279360.

The previous prime is 112590697. The next prime is 112590733. The reversal of 112590720 is 27095211.

112590720 is a `hidden beast` number, since 1 + 1 + 2 + 590 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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, 62472 + ... + 64248.

Almost surely, 2^112590720 is an apocalyptic number.

112590720 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 112590720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212186520).

112590720 is an abundant number, since it is smaller than the sum of its proper divisors (311782320).

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

112590720 is a wasteful number, since it uses less digits than its factorization.

112590720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1798 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 112590720 is about 10610.8774377994. The cubic root of 112590720 is about 482.8744192118.

The spelling of 112590720 in words is "one hundred twelve million, five hundred ninety thousand, seven hundred twenty".