584272 has 30 divisors (see below), whose sum is σ = 1242542. Its totient is φ = 264576.

The previous prime is 584261. The next prime is 584279. The reversal of 584272 is 272485.

It can be written as a sum of positive squares in 3 ways, for example, as 99856 + 484416 = 316^2 + 696^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 584272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (584279) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10998 + ... + 11050.

2⁵⁸⁴²⁷² is an apocalyptic number.

584272 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 584272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621271).

584272 is an abundant number, since it is smaller than the sum of its proper divisors (658270).

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

584272 is a wasteful number, since it uses less digits than its factorization.

584272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 68 counting only the distinct ones).

The product of its digits is 4480, while the sum is 28.

The square root of 584272 is about 764.3768703984. The cubic root of 584272 is about 83.5997588571.

The spelling of 584272 in words is "five hundred eighty-four thousand, two hundred seventy-two".