65065728 has 288 divisors, whose sum is σ = 228928000. Its totient is φ = 16257024.

The previous prime is 65065727. The next prime is 65065769. The reversal of 65065728 is 82756056.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (65065727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3424503 + ... + 3424521.

Almost surely, 2^65065728 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 65065728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114464000).

65065728 is an abundant number, since it is smaller than the sum of its proper divisors (163862272).

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

65065728 is a wasteful number, since it uses less digits than its factorization.

65065728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 65065728 is about 8066.3329958538. The cubic root of 65065728 is about 402.2080554664.

The spelling of 65065728 in words is "sixty-five million, sixty-five thousand, seven hundred twenty-eight".