208672 has 12 divisors (see below), whose sum is σ = 410886. Its totient is φ = 104320.

The previous prime is 208667. The next prime is 208673. The reversal of 208672 is 276802.

It can be written as a sum of positive squares in only one way, i.e., 132496 + 76176 = 364^2 + 276^2 .

It is not an unprimeable number, because it can be changed into a prime (208673) by changing a digit.

208672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3229 + ... + 3292.

2²⁰⁸⁶⁷² is an apocalyptic number.

It is an amenable number.

208672 is a deficient number, since it is larger than the sum of its proper divisors (202214).

208672 is an equidigital number, since it uses as much as digits as its factorization.

208672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6531 (or 6523 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 208672 is about 456.8063046850. The cubic root of 208672 is about 59.3136603830.

The spelling of 208672 in words is "two hundred eight thousand, six hundred seventy-two".