224672 has 48 divisors (see below), whose sum is σ = 544320. Its totient is φ = 89088.

The previous prime is 224669. The next prime is 224677. The reversal of 224672 is 276422.

224672 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

224672 is a modest number, since divided by 672 gives 224 as remainder.

It is a nialpdrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (224677) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3779 + ... + 3837.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2²²⁴⁶⁷² 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 224672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272160).

224672 is an abundant number, since it is smaller than the sum of its proper divisors (319648).

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

224672 is a wasteful number, since it uses less digits than its factorization.

224672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 85 counting only the distinct ones).

The product of its digits is 1344, while the sum is 23.

The square root of 224672 is about 473.9957805719. The cubic root of 224672 is about 60.7924505862.

The spelling of 224672 in words is "two hundred twenty-four thousand, six hundred seventy-two".