113757672 has 64 divisors (see below), whose sum is σ = 331960320. Its totient is φ = 31808448.

The previous prime is 113757653. The next prime is 113757673. The reversal of 113757672 is 276757311.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 113757672.

It is not an unprimeable number, because it can be changed into a prime (113757673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693 + ... + 15099.

It is an arithmetic number, because the mean of its divisors is an integer number (5186880).

Almost surely, 2^113757672 is an apocalyptic number.

113757672 is a gapful number since it is divisible by the number (12) 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 113757672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165980160).

113757672 is an abundant number, since it is smaller than the sum of its proper divisors (218202648).

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

113757672 is a wasteful number, since it uses less digits than its factorization.

113757672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14470 (or 14466 counting only the distinct ones).

The product of its digits is 61740, while the sum is 39.

The square root of 113757672 is about 10665.7241666940. The cubic root of 113757672 is about 484.5369470664.

The spelling of 113757672 in words is "one hundred thirteen million, seven hundred fifty-seven thousand, six hundred seventy-two".