582030072 has 96 divisors (see below), whose sum is σ = 1723110480. Its totient is φ = 176394240.

The previous prime is 582030067. The next prime is 582030077. The reversal of 582030072 is 270030285.

It is an interprime number because it is at equal distance from previous prime (582030067) and next prime (582030077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (582030077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58072 + ... + 67352.

Almost surely, 2^582030072 is an apocalyptic number.

582030072 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 582030072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861555240).

582030072 is an abundant number, since it is smaller than the sum of its proper divisors (1141080408).

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

582030072 is a wasteful number, since it uses less digits than its factorization.

582030072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9373 (or 9366 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 582030072 is about 24125.2994178311. The cubic root of 582030072 is about 834.9269406717.

The spelling of 582030072 in words is "five hundred eighty-two million, thirty thousand, seventy-two".