576072072 has 48 divisors (see below), whose sum is σ = 1561872780. Its totient is φ = 191817600.

The previous prime is 576072071. The next prime is 576072073. The reversal of 576072072 is 270270675.

It is an interprime number because it is at equal distance from previous prime (576072071) and next prime (576072073).

It can be written as a sum of positive squares in 2 ways, for example, as 564822756 + 11249316 = 23766^2 + 3354^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

576072072 is a modest number, since divided by 72072 gives 576 as remainder.

It is not an unprimeable number, because it can be changed into a prime (576072071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72622 + ... + 80162.

Almost surely, 2^576072072 is an apocalyptic number.

It is an amenable number.

576072072 is an abundant number, since it is smaller than the sum of its proper divisors (985800708).

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

576072072 is a wasteful number, since it uses less digits than its factorization.

576072072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8614 (or 8607 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 576072072 is about 24001.5014530341. The cubic root of 576072072 is about 832.0682305053.

The spelling of 576072072 in words is "five hundred seventy-six million, seventy-two thousand, seventy-two".