327106752 has 112 divisors (see below), whose sum is σ = 1009497600. Its totient is φ = 93440256.

The previous prime is 327106739. The next prime is 327106757. The reversal of 327106752 is 257601723.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (327106757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63373 + ... + 68339.

Almost surely, 2^327106752 is an apocalyptic number.

327106752 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 327106752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504748800).

327106752 is an abundant number, since it is smaller than the sum of its proper divisors (682390848).

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

327106752 is an equidigital number, since it uses as much as digits as its factorization.

327106752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5003 (or 4979 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 327106752 is about 18086.0927787071. The cubic root of 327106752 is about 689.0168396552.

The spelling of 327106752 in words is "three hundred twenty-seven million, one hundred six thousand, seven hundred fifty-two".