567072000 has 432 divisors, whose sum is σ = 2238425280. Its totient is φ = 136704000.

The previous prime is 567071983. The next prime is 567072041. The reversal of 567072000 is 270765.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3167911 + ... + 3168089.

It is an arithmetic number, because the mean of its divisors is an integer number (5181540).

Almost surely, 2^567072000 is an apocalyptic number.

567072000 is a gapful number since it is divisible by the number (50) 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 567072000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119212640).

567072000 is an abundant number, since it is smaller than the sum of its proper divisors (1671353280).

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

567072000 is a wasteful number, since it uses less digits than its factorization.

567072000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

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

The square root of 567072000 is about 23813.2736094809. The cubic root of 567072000 is about 827.7122853893.

The spelling of 567072000 in words is "five hundred sixty-seven million, seventy-two thousand".