113772320 has 48 divisors (see below), whose sum is σ = 273216888. Its totient is φ = 44759040.

The previous prime is 113772311. The next prime is 113772331. The reversal of 113772320 is 23277311.

It can be written as a sum of positive squares in 4 ways, for example, as 72658576 + 41113744 = 8524^2 + 6412^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 113772320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3932 + ... + 15588.

Almost surely, 2^113772320 is an apocalyptic number.

113772320 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 113772320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136608444).

113772320 is an abundant number, since it is smaller than the sum of its proper divisors (159444568).

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

113772320 is a wasteful number, since it uses less digits than its factorization.

113772320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11733 (or 11725 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 113772320 is about 10666.4108302653. The cubic root of 113772320 is about 484.5577432977.

The spelling of 113772320 in words is "one hundred thirteen million, seven hundred seventy-two thousand, three hundred twenty".