209972 has 12 divisors (see below), whose sum is σ = 420000. Its totient is φ = 89976.

The previous prime is 209971. The next prime is 209977. The reversal of 209972 is 279902.

It is a happy number.

209972 is an admirable number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 209972.

It is not an unprimeable number, because it can be changed into a prime (209971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3722 + ... + 3777.

It is an arithmetic number, because the mean of its divisors is an integer number (35000).

2²⁰⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

209972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

209972 is a wasteful number, since it uses less digits than its factorization.

209972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7510 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 209972 is about 458.2270179725. The cubic root of 209972 is about 59.4365776671.

The spelling of 209972 in words is "two hundred nine thousand, nine hundred seventy-two".