206172 has 48 divisors (see below), whose sum is σ = 564480. Its totient is φ = 64944.

The previous prime is 206153. The next prime is 206177. The reversal of 206172 is 271602.

It is a happy number.

206172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 206172.

It is not an unprimeable number, because it can be changed into a prime (206177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2443 + ... + 2525.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2²⁰⁶¹⁷² 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 206172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282240).

206172 is an abundant number, since it is smaller than the sum of its proper divisors (358308).

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

206172 is a wasteful number, since it uses less digits than its factorization.

206172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 206172 is about 454.0616698203. The cubic root of 206172 is about 59.0758385092.

Adding to 206172 its reverse (271602), we get a palindrome (477774).

It can be divided in two parts, 206 and 172, that added together give a triangular number (378 = T₂₇).

The spelling of 206172 in words is "two hundred six thousand, one hundred seventy-two".