65566872 has 192 divisors, whose sum is σ = 220147200. Its totient is φ = 17210880.

The previous prime is 65566871. The next prime is 65566889. The reversal of 65566872 is 27866556.

65566872 is a `hidden beast` number, since 6 + 5 + 566 + 87 + 2 = 666.

65566872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65566871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392533 + ... + 392699.

It is an arithmetic number, because the mean of its divisors is an integer number (1146600).

Almost surely, 2^65566872 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 65566872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110073600).

65566872 is an abundant number, since it is smaller than the sum of its proper divisors (154580328).

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

65566872 is a wasteful number, since it uses less digits than its factorization.

65566872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 65566872 is about 8097.3373401384. The cubic root of 65566872 is about 403.2380337799.

The spelling of 65566872 in words is "sixty-five million, five hundred sixty-six thousand, eight hundred seventy-two".