576648072 has 480 divisors, whose sum is σ = 2224696320. Its totient is φ = 137168640.

The previous prime is 576648053. The next prime is 576648073. The reversal of 576648072 is 270846675.

576648072 is a `hidden beast` number, since 576 + 6 + 4 + 8 + 0 + 72 = 666.

576648072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (576648073) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4540473 + ... + 4540599.

It is an arithmetic number, because the mean of its divisors is an integer number (4634784).

Almost surely, 2^576648072 is an apocalyptic number.

576648072 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 576648072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112348160).

576648072 is an abundant number, since it is smaller than the sum of its proper divisors (1648048248).

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

576648072 is a wasteful number, since it uses less digits than its factorization.

576648072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 576648072 is about 24013.4977044162. The cubic root of 576648072 is about 832.3454595047.

The spelling of 576648072 in words is "five hundred seventy-six million, six hundred forty-eight thousand, seventy-two".