208572 has 48 divisors (see below), whose sum is σ = 602112. Its totient is φ = 54720.

The previous prime is 208553. The next prime is 208577. The reversal of 208572 is 275802.

208572 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (208577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997 + ... + 1187.

It is an arithmetic number, because the mean of its divisors is an integer number (12544).

2²⁰⁸⁵⁷² 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 208572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301056).

208572 is an abundant number, since it is smaller than the sum of its proper divisors (393540).

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

208572 is a wasteful number, since it uses less digits than its factorization.

208572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 208572 is about 456.6968359864. The cubic root of 208572 is about 59.3041840856.

It can be divided in two parts, 20857 and 2, that multiplied together give a palindrome (41714).

The spelling of 208572 in words is "two hundred eight thousand, five hundred seventy-two".