562095072 has 576 divisors, whose sum is σ = 2233889280. Its totient is φ = 135475200.

The previous prime is 562095071. The next prime is 562095077. The reversal of 562095072 is 270590265.

562095072 is a `hidden beast` number, since 562 + 0 + 95 + 0 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (562095071) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7916797 + ... + 7916867.

It is an arithmetic number, because the mean of its divisors is an integer number (3878280).

Almost surely, 2^562095072 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 562095072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116944640).

562095072 is an abundant number, since it is smaller than the sum of its proper divisors (1671794208).

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

562095072 is a wasteful number, since it uses less digits than its factorization.

562095072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 562095072 is about 23708.5442825999. The cubic root of 562095072 is about 825.2836842594.

The spelling of 562095072 in words is "five hundred sixty-two million, ninety-five thousand, seventy-two".