327872000 has 160 divisors (see below), whose sum is σ = 842624640. Its totient is φ = 127180800.

The previous prime is 327871997. The next prime is 327872003. The reversal of 327872000 is 278723.

It is an interprime number because it is at equal distance from previous prime (327871997) and next prime (327872003).

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327872003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3007946 + ... + 3008054.

It is an arithmetic number, because the mean of its divisors is an integer number (5266404).

Almost surely, 2^327872000 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 327872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421312320).

327872000 is an abundant number, since it is smaller than the sum of its proper divisors (514752640).

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

327872000 is an equidigital number, since it uses as much as digits as its factorization.

327872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 327872000 is about 18107.2361226113. The cubic root of 327872000 is about 689.5537266876.

The spelling of 327872000 in words is "three hundred twenty-seven million, eight hundred seventy-two thousand".