576579072 has 160 divisors (see below), whose sum is σ = 1654608384. Its totient is φ = 177766400.

The previous prime is 576579041. The next prime is 576579079. The reversal of 576579072 is 270975675.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576579079) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1853797 + ... + 1854107.

Almost surely, 2^576579072 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 576579072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827304192).

576579072 is an abundant number, since it is smaller than the sum of its proper divisors (1078029312).

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

576579072 is a wasteful number, since it uses less digits than its factorization.

576579072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The square root of 576579072 is about 24012.0609694378. The cubic root of 576579072 is about 832.3122595165.

The spelling of 576579072 in words is "five hundred seventy-six million, five hundred seventy-nine thousand, seventy-two".