201359872 has 80 divisors (see below), whose sum is σ = 484165440. Its totient is φ = 81727488.

The previous prime is 201359867. The next prime is 201359881. The reversal of 201359872 is 278953102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66618 + ... + 69574.

It is an arithmetic number, because the mean of its divisors is an integer number (6052068).

Almost surely, 2^201359872 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 201359872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242082720).

201359872 is an abundant number, since it is smaller than the sum of its proper divisors (282805568).

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

201359872 is an equidigital number, since it uses as much as digits as its factorization.

201359872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2985 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 201359872 is about 14190.1329098779. The cubic root of 201359872 is about 586.1259848636.

The spelling of 201359872 in words is "two hundred one million, three hundred fifty-nine thousand, eight hundred seventy-two".