327272400 has 720 divisors, whose sum is σ = 1488765824. Its totient is φ = 67184640.

The previous prime is 327272383. The next prime is 327272401. The reversal of 327272400 is 4272723.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (327272401) 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 143 ways as a sum of consecutive naturals, for example, 8845182 + ... + 8845218.

Almost surely, 2^327272400 is an apocalyptic number.

327272400 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 327272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744382912).

327272400 is an abundant number, since it is smaller than the sum of its proper divisors (1161493424).

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

327272400 is a wasteful number, since it uses less digits than its factorization.

327272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

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

The square root of 327272400 is about 18090.6716293232. The cubic root of 327272400 is about 689.1331268715.

The spelling of 327272400 in words is "three hundred twenty-seven million, two hundred seventy-two thousand, four hundred".