325752 has 48 divisors (see below), whose sum is σ = 950760. Its totient is φ = 92736.

The previous prime is 325751. The next prime is 325753. The reversal of 325752 is 257523.

It is an interprime number because it is at equal distance from previous prime (325751) and next prime (325753).

It is a super-2 number, since 2×325752² = 212228731008, which contains 22 as substring.

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

Its product of digits (2100) is a multiple of the sum of its prime factors (300).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 325752.

It is not an unprimeable number, because it can be changed into a prime (325751) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038 + ... + 1314.

2³²⁵⁷⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475380).

325752 is an abundant number, since it is smaller than the sum of its proper divisors (625008).

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

325752 is a wasteful number, since it uses less digits than its factorization.

325752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

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

The square root of 325752 is about 570.7468790979. The cubic root of 325752 is about 68.8064308033.

The spelling of 325752 in words is "three hundred twenty-five thousand, seven hundred fifty-two".