204672 has 64 divisors (see below), whose sum is σ = 599760. Its totient is φ = 61440.

The previous prime is 204667. The next prime is 204679. The reversal of 204672 is 276402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 13.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204679) by changing a digit.

204672 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 in 7 ways as a sum of consecutive naturals, for example, 4972 + ... + 5012.

2²⁰⁴⁶⁷² 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 204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299880).

204672 is an abundant number, since it is smaller than the sum of its proper divisors (395088).

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

204672 is a wasteful number, since it uses less digits than its factorization.

204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 204672 is about 452.4068964992. The cubic root of 204672 is about 58.9322213140.

The spelling of 204672 in words is "two hundred four thousand, six hundred seventy-two".