206272 has 28 divisors (see below), whose sum is σ = 448056. Its totient is φ = 93440.

The previous prime is 206263. The next prime is 206273. The reversal of 206272 is 272602.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206273) by changing a digit.

206272 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 558 + ... + 850.

It is an arithmetic number, because the mean of its divisors is an integer number (16002).

2²⁰⁶²⁷² is an apocalyptic number.

206272 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224028).

206272 is an abundant number, since it is smaller than the sum of its proper divisors (241784).

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

206272 is a wasteful number, since it uses less digits than its factorization.

206272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 206272 is about 454.1717736716. The cubic root of 206272 is about 59.0853881878.

Adding to 206272 its reverse (272602), we get a palindrome (478874).

The spelling of 206272 in words is "two hundred six thousand, two hundred seventy-two".