113820672 has 176 divisors, whose sum is σ = 356341760. Its totient is φ = 31629312.

The previous prime is 113820667. The next prime is 113820683. The reversal of 113820672 is 276028311.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1440729 + ... + 1440807.

Almost surely, 2^113820672 is an apocalyptic number.

113820672 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 113820672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178170880).

113820672 is an abundant number, since it is smaller than the sum of its proper divisors (242521088).

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

113820672 is an equidigital number, since it uses as much as digits as its factorization.

113820672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 113820672 is about 10668.6771438637. The cubic root of 113820672 is about 484.6263775013.

Adding to 113820672 its reverse (276028311), we get a palindrome (389848983).

The spelling of 113820672 in words is "one hundred thirteen million, eight hundred twenty thousand, six hundred seventy-two".