563072 has 32 divisors (see below), whose sum is σ = 1156680. Its totient is φ = 272896.

The previous prime is 563051. The next prime is 563077. The reversal of 563072 is 270365.

It is a tau number, because it is divible by the number of its divisors (32).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563077) by changing a digit.

563072 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 3 ways as a sum of consecutive naturals, for example, 6743 + ... + 6825.

2⁵⁶³⁰⁷² 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 563072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578340).

563072 is an abundant number, since it is smaller than the sum of its proper divisors (593608).

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

563072 is an equidigital number, since it uses as much as digits as its factorization.

563072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 23.

The square root of 563072 is about 750.3812364392. The cubic root of 563072 is about 82.5761525194.

The spelling of 563072 in words is "five hundred sixty-three thousand, seventy-two".