586272 has 48 divisors (see below), whose sum is σ = 1596672. Its totient is φ = 188160.

The previous prime is 586237. The next prime is 586273. The reversal of 586272 is 272685.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 586272.

It is not an unprimeable number, because it can be changed into a prime (586273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2878 + ... + 3074.

It is an arithmetic number, because the mean of its divisors is an integer number (33264).

2⁵⁸⁶²⁷² 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 586272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798336).

586272 is an abundant number, since it is smaller than the sum of its proper divisors (1010400).

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

586272 is a wasteful number, since it uses less digits than its factorization.

586272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

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

The square root of 586272 is about 765.6840079302. The cubic root of 586272 is about 83.6950393095.

It can be divided in two parts, 586 and 272, that added together give a palindrome (858).

The spelling of 586272 in words is "five hundred eighty-six thousand, two hundred seventy-two".