200872 has 32 divisors (see below), whose sum is σ = 457920. Its totient is φ = 80640.

The previous prime is 200869. The next prime is 200881. The reversal of 200872 is 278002.

It is an Ulam number.

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, 847 + ... + 1057.

It is an arithmetic number, because the mean of its divisors is an integer number (14310).

2²⁰⁰⁸⁷² 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 200872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228960).

200872 is an abundant number, since it is smaller than the sum of its proper divisors (257048).

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

200872 is a wasteful number, since it uses less digits than its factorization.

200872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 200872 is about 448.1874607795. The cubic root of 200872 is about 58.5652229906.

Adding to 200872 its reverse (278002), we get a palindrome (478874).

It can be divided in two parts, 2008 and 72, that added together give a triangular number (2080 = T₆₄).

The spelling of 200872 in words is "two hundred thousand, eight hundred seventy-two".