582672 has 40 divisors (see below), whose sum is σ = 1537600. Its totient is φ = 190080.

The previous prime is 582649. The next prime is 582677. The reversal of 582672 is 276285.

It is not an unprimeable number, because it can be changed into a prime (582677) by changing a digit.

582672 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, 2829 + ... + 3027.

It is an arithmetic number, because the mean of its divisors is an integer number (38440).

2⁵⁸²⁶⁷² 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 582672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768800).

582672 is an abundant number, since it is smaller than the sum of its proper divisors (954928).

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

582672 is a wasteful number, since it uses less digits than its factorization.

582672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 582672 is about 763.3295487534. The cubic root of 582672 is about 83.5233778232.

The spelling of 582672 in words is "five hundred eighty-two thousand, six hundred seventy-two".