112077720 has 96 divisors (see below), whose sum is σ = 365601600. Its totient is φ = 29776896.

The previous prime is 112077701. The next prime is 112077731. The reversal of 112077720 is 27770211.

It is a super-2 number, since 2×112077720² = 25122830640796800, which contains 22 as substring.

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, 155521 + ... + 156239.

It is an arithmetic number, because the mean of its divisors is an integer number (3808350).

Almost surely, 2^112077720 is an apocalyptic number.

112077720 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 112077720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182800800).

112077720 is an abundant number, since it is smaller than the sum of its proper divisors (253523880).

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

112077720 is a wasteful number, since it uses less digits than its factorization.

112077720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 112077720 is about 10586.6765323212. The cubic root of 112077720 is about 482.1399248264.

The spelling of 112077720 in words is "one hundred twelve million, seventy-seven thousand, seven hundred twenty".