201075200 has 120 divisors (see below), whose sum is σ = 520600608. Its totient is φ = 76820480.

The previous prime is 201075197. The next prime is 201075211. The reversal of 201075200 is 2570102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294059 + ... + 294741.

Almost surely, 2^201075200 is an apocalyptic number.

201075200 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 201075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260300304).

201075200 is an abundant number, since it is smaller than the sum of its proper divisors (319525408).

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

201075200 is an equidigital number, since it uses as much as digits as its factorization.

201075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 201075200 is about 14180.0987302628. The cubic root of 201075200 is about 585.8496432302.

The spelling of 201075200 in words is "two hundred one million, seventy-five thousand, two hundred".