115752000 has 448 divisors, whose sum is σ = 479291904. Its totient is φ = 23961600.

The previous prime is 115751989. The next prime is 115752017. The reversal of 115752000 is 257511.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2183974 + ... + 2184026.

It is an arithmetic number, because the mean of its divisors is an integer number (1069848).

Almost surely, 2^115752000 is an apocalyptic number.

115752000 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 115752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

115752000 is an abundant number, since it is smaller than the sum of its proper divisors (363539904).

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

115752000 is a wasteful number, since it uses less digits than its factorization.

115752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 115752000 is about 10758.8103431560. The cubic root of 115752000 is about 487.3520918812.

The spelling of 115752000 in words is "one hundred fifteen million, seven hundred fifty-two thousand".