209272 has 32 divisors (see below), whose sum is σ = 465120. Its totient is φ = 86400.

The previous prime is 209269. The next prime is 209299. The reversal of 209272 is 272902.

209272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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, 2022 + ... + 2122.

It is an arithmetic number, because the mean of its divisors is an integer number (14535).

2²⁰⁹²⁷² 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 209272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232560).

209272 is an abundant number, since it is smaller than the sum of its proper divisors (255848).

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

209272 is a wasteful number, since it uses less digits than its factorization.

209272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 209272 is about 457.4625667746. The cubic root of 209272 is about 59.3704546844.

The spelling of 209272 in words is "two hundred nine thousand, two hundred seventy-two".