203872 has 24 divisors (see below), whose sum is σ = 420336. Its totient is φ = 97152.

The previous prime is 203869. The next prime is 203873. The reversal of 203872 is 278302.

It is a happy number.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 598 + ... + 874.

It is an arithmetic number, because the mean of its divisors is an integer number (17514).

2²⁰³⁸⁷² 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 203872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210168).

203872 is an abundant number, since it is smaller than the sum of its proper divisors (216464).

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

203872 is a wasteful number, since it uses less digits than its factorization.

203872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 203872 is about 451.5218710096. The cubic root of 203872 is about 58.8553384039.

The spelling of 203872 in words is "two hundred three thousand, eight hundred seventy-two".