576072 has 80 divisors (see below), whose sum is σ = 1858560. Its totient is φ = 163296.

The previous prime is 576049. The next prime is 576089. The reversal of 576072 is 270675.

576072 is a `hidden beast` number, since 57 + 607 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

576072 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4473 + ... + 4599.

It is an arithmetic number, because the mean of its divisors is an integer number (23232).

2⁵⁷⁶⁰⁷² 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 576072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929280).

576072 is an abundant number, since it is smaller than the sum of its proper divisors (1282488).

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

576072 is a wasteful number, since it uses less digits than its factorization.

576072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 576072 is about 758.9940711231. The cubic root of 576072 is about 83.2068195840.

It can be divided in two parts, 5760 and 72, that added together give a cube (5832 = 18³).

The spelling of 576072 in words is "five hundred seventy-six thousand, seventy-two".