590072 has 32 divisors (see below), whose sum is σ = 1300320. Its totient is φ = 245760.

The previous prime is 590071. The next prime is 590077. The reversal of 590072 is 270095.

It is a plaindrome in base 12.

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 590072.

It is not an unprimeable number, because it can be changed into a prime (590071) 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, 2168 + ... + 2424.

It is an arithmetic number, because the mean of its divisors is an integer number (40635).

2⁵⁹⁰⁰⁷² 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 590072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650160).

590072 is an abundant number, since it is smaller than the sum of its proper divisors (710248).

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

590072 is a wasteful number, since it uses less digits than its factorization.

590072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 590072 is about 768.1614413650. The cubic root of 590072 is about 83.8754768715.

Adding to 590072 its sum of digits (23), we get a palindrome (590095).

The spelling of 590072 in words is "five hundred ninety thousand, seventy-two".