382572576 has 72 divisors (see below), whose sum is σ = 1094999724. Its totient is φ = 126696960.

The previous prime is 382572557. The next prime is 382572587. The reversal of 382572576 is 675275283.

382572576 is a `hidden beast` number, since 3 + 8 + 2 + 5 + 72 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 380250000 + 2322576 = 19500^2 + 1524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40986 + ... + 49446.

Almost surely, 2^382572576 is an apocalyptic number.

382572576 is a gapful number since it is divisible by the number (36) 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 382572576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547499862).

382572576 is an abundant number, since it is smaller than the sum of its proper divisors (712427148).

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

382572576 is a wasteful number, since it uses less digits than its factorization.

382572576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634 (or 8623 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 382572576 is about 19559.4625693039. The cubic root of 382572576 is about 725.9464933360.

The spelling of 382572576 in words is "three hundred eighty-two million, five hundred seventy-two thousand, five hundred seventy-six".