113572120 has 64 divisors (see below), whose sum is σ = 278316000. Its totient is φ = 41545728.

The previous prime is 113572117. The next prime is 113572133. The reversal of 113572120 is 21275311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113572091 and 113572100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19464 + ... + 24616.

Almost surely, 2^113572120 is an apocalyptic number.

113572120 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 113572120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139158000).

113572120 is an abundant number, since it is smaller than the sum of its proper divisors (164743880).

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

113572120 is a wasteful number, since it uses less digits than its factorization.

113572120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5212 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 113572120 is about 10657.0220981285. The cubic root of 113572120 is about 484.2733583191.

The spelling of 113572120 in words is "one hundred thirteen million, five hundred seventy-two thousand, one hundred twenty".