65133216 has 72 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 20566656.

The previous prime is 65133181. The next prime is 65133221. The reversal of 65133216 is 61233156.

65133216 is a `hidden beast` number, since 651 + 3 + 3 + 2 + 1 + 6 = 666.

65133216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 65133216.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 480 + ... + 11423.

It is an arithmetic number, because the mean of its divisors is an integer number (2708160).

Almost surely, 2^65133216 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 65133216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97493760).

65133216 is an abundant number, since it is smaller than the sum of its proper divisors (129854304).

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

65133216 is a wasteful number, since it uses less digits than its factorization.

65133216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11938 (or 11927 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 65133216 is about 8070.5152251885. The cubic root of 65133216 is about 402.3470679111.

The spelling of 65133216 in words is "sixty-five million, one hundred thirty-three thousand, two hundred sixteen".