576972 has 72 divisors (see below), whose sum is σ = 1677312. Its totient is φ = 165600.

The previous prime is 576967. The next prime is 576977. The reversal of 576972 is 279675.

576972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (576967) and next prime (576977).

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

576972 is a modest number, since divided by 972 gives 576 as remainder.

It is not an unprimeable number, because it can be changed into a prime (576977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12253 + ... + 12299.

It is an arithmetic number, because the mean of its divisors is an integer number (23296).

2⁵⁷⁶⁹⁷² 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 576972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838656).

576972 is an abundant number, since it is smaller than the sum of its proper divisors (1100340).

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

576972 is a wasteful number, since it uses less digits than its factorization.

576972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 94 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 576972 is about 759.5867297419. The cubic root of 576972 is about 83.2501285067.

The spelling of 576972 in words is "five hundred seventy-six thousand, nine hundred seventy-two".