65133072 has 100 divisors (see below), whose sum is σ = 195127020. Its totient is φ = 20950272.

The previous prime is 65133071. The next prime is 65133091. The reversal of 65133072 is 27033156.

It is a happy number.

65133072 is a `hidden beast` number, since 651 + 3 + 3 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 31539456 + 33593616 = 5616^2 + 5796^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (65133071) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36718 + ... + 38450.

Almost surely, 2^65133072 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 65133072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97563510).

65133072 is an abundant number, since it is smaller than the sum of its proper divisors (129993948).

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

65133072 is a wasteful number, since it uses less digits than its factorization.

65133072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 65133072 is about 8070.5063038201. The cubic root of 65133072 is about 402.3467714007.

The spelling of 65133072 in words is "sixty-five million, one hundred thirty-three thousand, seventy-two".