582972 has 48 divisors (see below), whose sum is σ = 1519392. Its totient is φ = 172800.

The previous prime is 582971. The next prime is 582973. The reversal of 582972 is 279285.

582972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (582971) and next prime (582973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (582971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5722 + ... + 5822.

It is an arithmetic number, because the mean of its divisors is an integer number (31654).

2⁵⁸²⁹⁷² is an apocalyptic number.

582972 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 582972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759696).

582972 is an abundant number, since it is smaller than the sum of its proper divisors (936420).

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

582972 is a wasteful number, since it uses less digits than its factorization.

582972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 582972 is about 763.5260309904. The cubic root of 582972 is about 83.5377099084.

The spelling of 582972 in words is "five hundred eighty-two thousand, nine hundred seventy-two".