327072420 has 144 divisors (see below), whose sum is σ = 1043078400. Its totient is φ = 82798848.

The previous prime is 327072409. The next prime is 327072461. The reversal of 327072420 is 24270723.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 823662 + ... + 824058.

It is an arithmetic number, because the mean of its divisors is an integer number (7243600).

Almost surely, 2^327072420 is an apocalyptic number.

327072420 is a gapful number since it is divisible by the number (30) 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 327072420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521539200).

327072420 is an abundant number, since it is smaller than the sum of its proper divisors (716005980).

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

327072420 is a wasteful number, since it uses less digits than its factorization.

327072420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 327072420 is about 18085.1436267451. The cubic root of 327072420 is about 688.9927331990.

The spelling of 327072420 in words is "three hundred twenty-seven million, seventy-two thousand, four hundred twenty".