112720896 has 154 divisors (see below), whose sum is σ = 340080392. Its totient is φ = 37324800.

The previous prime is 112720891. The next prime is 112720943. The reversal of 112720896 is 698027211.

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

It is a self number, because there is not a number n which added to its sum of digits gives 112720896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112720891) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 746421 + ... + 746571.

Almost surely, 2^112720896 is an apocalyptic number.

112720896 is a gapful number since it is divisible by the number (16) 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 112720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170040196).

112720896 is an abundant number, since it is smaller than the sum of its proper divisors (227359496).

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

112720896 is an frugal number, since it uses more digits than its factorization.

112720896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 112720896 is about 10617.0097485121. The cubic root of 112720896 is about 483.0604453498.

The spelling of 112720896 in words is "one hundred twelve million, seven hundred twenty thousand, eight hundred ninety-six".