113722880 has 80 divisors (see below), whose sum is σ = 281660544. Its totient is φ = 43991040.

The previous prime is 113722871. The next prime is 113722883. The reversal of 113722880 is 88227311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113722883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78644 + ... + 80076.

Almost surely, 2^113722880 is an apocalyptic number.

113722880 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 113722880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140830272).

113722880 is an abundant number, since it is smaller than the sum of its proper divisors (167937664).

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

113722880 is an equidigital number, since it uses as much as digits as its factorization.

113722880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1471 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 113722880 is about 10664.0930228501. The cubic root of 113722880 is about 484.4875446009.

The spelling of 113722880 in words is "one hundred thirteen million, seven hundred twenty-two thousand, eight hundred eighty".