113724000 has 384 divisors, whose sum is σ = 451301760. Its totient is φ = 27993600.

The previous prime is 113723957. The next prime is 113724011. The reversal of 113724000 is 427311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8747994 + ... + 8748006.

It is an arithmetic number, because the mean of its divisors is an integer number (1175265).

Almost surely, 2^113724000 is an apocalyptic number.

113724000 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 113724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225650880).

113724000 is an abundant number, since it is smaller than the sum of its proper divisors (337577760).

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

113724000 is an frugal number, since it uses more digits than its factorization.

113724000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 113724000 is about 10664.1455353910. The cubic root of 113724000 is about 484.4891350879.

The spelling of 113724000 in words is "one hundred thirteen million, seven hundred twenty-four thousand".