201327200 has 72 divisors (see below), whose sum is σ = 493562160. Its totient is φ = 80192000.

The previous prime is 201327197. The next prime is 201327229. The reversal of 201327200 is 2723102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286850 + ... + 287550.

It is an arithmetic number, because the mean of its divisors is an integer number (6855030).

Almost surely, 2^201327200 is an apocalyptic number.

201327200 is a gapful number since it is divisible by the number (20) 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 201327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246781080).

201327200 is an abundant number, since it is smaller than the sum of its proper divisors (292234960).

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

201327200 is a wasteful number, since it uses less digits than its factorization.

201327200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 201327200 is about 14188.9816406957. The cubic root of 201327200 is about 586.0942821816.

The spelling of 201327200 in words is "two hundred one million, three hundred twenty-seven thousand, two hundred".