235752000 has 448 divisors, whose sum is σ = 912936960. Its totient is φ = 52992000.

The previous prime is 235751977. The next prime is 235752017. The reversal of 235752000 is 257532.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 5015977 + ... + 5016023.

Almost surely, 2^235752000 is an apocalyptic number.

235752000 is a gapful number since it is divisible by the number (20) 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 235752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

235752000 is an abundant number, since it is smaller than the sum of its proper divisors (677184960).

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

235752000 is a wasteful number, since it uses less digits than its factorization.

235752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 235752000 is about 15354.2176616069. The cubic root of 235752000 is about 617.7581190178.

The spelling of 235752000 in words is "two hundred thirty-five million, seven hundred fifty-two thousand".