113743872 has 288 divisors, whose sum is σ = 392137200. Its totient is φ = 32440320.

The previous prime is 113743871. The next prime is 113743873. The reversal of 113743872 is 278347311.

It is an interprime number because it is at equal distance from previous prime (113743871) and next prime (113743873).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113743871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6690808 + ... + 6690824.

Almost surely, 2^113743872 is an apocalyptic number.

113743872 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 113743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196068600).

113743872 is an abundant number, since it is smaller than the sum of its proper divisors (278393328).

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

113743872 is a wasteful number, since it uses less digits than its factorization.

113743872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 33 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 113743872 is about 10665.0772149104. The cubic root of 113743872 is about 484.5173531344.

The spelling of 113743872 in words is "one hundred thirteen million, seven hundred forty-three thousand, eight hundred seventy-two".