561868272 has 320 divisors, whose sum is σ = 1964160000. Its totient is φ = 150377472.

The previous prime is 561868267. The next prime is 561868283. The reversal of 561868272 is 272868165.

561868272 is a `hidden beast` number, since 5 + 618 + 6 + 8 + 27 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3770854 + ... + 3771002.

It is an arithmetic number, because the mean of its divisors is an integer number (6138000).

Almost surely, 2^561868272 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 561868272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982080000).

561868272 is an abundant number, since it is smaller than the sum of its proper divisors (1402291728).

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

561868272 is a wasteful number, since it uses less digits than its factorization.

561868272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 561868272 is about 23703.7607142833. The cubic root of 561868272 is about 825.1726712956.

The spelling of 561868272 in words is "five hundred sixty-one million, eight hundred sixty-eight thousand, two hundred seventy-two".