112752000 has 384 divisors, whose sum is σ = 434397600. Its totient is φ = 29030400.

The previous prime is 112751993. The next prime is 112752037. The reversal of 112752000 is 257211.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 3887986 + ... + 3888014.

Almost surely, 2^112752000 is an apocalyptic number.

112752000 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 112752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217198800).

112752000 is an abundant number, since it is smaller than the sum of its proper divisors (321645600).

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

112752000 is an frugal number, since it uses more digits than its factorization.

112752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 112752000 is about 10618.4744667019. The cubic root of 112752000 is about 483.1048728720.

The spelling of 112752000 in words is "one hundred twelve million, seven hundred fifty-two thousand".