272208 has 40 divisors (see below), whose sum is σ = 723168. Its totient is φ = 88192.

The previous prime is 272203. The next prime is 272227. The reversal of 272208 is 802272.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

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 272208.

It is not an unprimeable number, because it can be changed into a prime (272201) by changing a digit.

272208 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 7 ways as a sum of consecutive naturals, for example, 2491 + ... + 2597.

2²⁷²²⁰⁸ 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 272208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361584).

272208 is an abundant number, since it is smaller than the sum of its proper divisors (450960).

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

272208 is a wasteful number, since it uses less digits than its factorization.

272208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 272208 is about 521.7355652052. The cubic root of 272208 is about 64.8087474855.

The spelling of 272208 in words is "two hundred seventy-two thousand, two hundred eight".