201871872 has 160 divisors (see below), whose sum is σ = 633441600. Its totient is φ = 63258624.

The previous prime is 201871867. The next prime is 201871883. The reversal of 201871872 is 278178102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234579 + ... + 235437.

It is an arithmetic number, because the mean of its divisors is an integer number (3959010).

Almost surely, 2^201871872 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 201871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316720800).

201871872 is an abundant number, since it is smaller than the sum of its proper divisors (431569728).

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

201871872 is an equidigital number, since it uses as much as digits as its factorization.

201871872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 201871872 is about 14208.1621612368. The cubic root of 201871872 is about 586.6223474326.

The spelling of 201871872 in words is "two hundred one million, eight hundred seventy-one thousand, eight hundred seventy-two".