327552 has 32 divisors (see below), whose sum is σ = 871080. Its totient is φ = 109056.

The previous prime is 327529. The next prime is 327553. The reversal of 327552 is 255723.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a d-powerful number, because it can be written as 3⁴ + 2¹⁶ + 5⁴ + 7⁶ + 5⁷ + 2¹⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327553) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43 + ... + 810.

2³²⁷⁵⁵² is an apocalyptic number.

327552 is a gapful number since it is divisible by the number (32) 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 327552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435540).

327552 is an abundant number, since it is smaller than the sum of its proper divisors (543528).

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

327552 is an equidigital number, since it uses as much as digits as its factorization.

327552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 858 counting only the distinct ones).

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

The square root of 327552 is about 572.3215879206. The cubic root of 327552 is about 68.9329321007.

The spelling of 327552 in words is "three hundred twenty-seven thousand, five hundred fifty-two".