579072 has 80 divisors (see below), whose sum is σ = 1718640. Its totient is φ = 172032.

The previous prime is 579053. The next prime is 579079. The reversal of 579072 is 270975.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (579079) by changing a digit.

579072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19954 + ... + 19982.

It is an arithmetic number, because the mean of its divisors is an integer number (21483).

2⁵⁷⁹⁰⁷² is an apocalyptic number.

579072 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 579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859320).

579072 is an abundant number, since it is smaller than the sum of its proper divisors (1139568).

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

579072 is a wasteful number, since it uses less digits than its factorization.

579072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 579072 is about 760.9678048380. The cubic root of 579072 is about 83.3510078066.

The spelling of 579072 in words is "five hundred seventy-nine thousand, seventy-two".