65728 has 28 divisors (see below), whose sum is σ = 142240. Its totient is φ = 29952.

The previous prime is 65719. The next prime is 65729. The reversal of 65728 is 82756.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 65728 = 12³ + 40³ = 31³ + 33³.

It is a junction number, because it is equal to n+sod(n) for n = 65696 and 65705.

It is not an unprimeable number, because it can be changed into a prime (65729) by changing a digit.

65728 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 793 + ... + 871.

It is an arithmetic number, because the mean of its divisors is an integer number (5080).

2⁶⁵⁷²⁸ 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 65728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71120).

65728 is an abundant number, since it is smaller than the sum of its proper divisors (76512).

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

65728 is a wasteful number, since it uses less digits than its factorization.

65728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 94 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 65728 is about 256.3747257434. The cubic root of 65728 is about 40.3568077422.

Adding to 65728 its sum of digits (28), we get a palindrome (65756).

The spelling of 65728 in words is "sixty-five thousand, seven hundred twenty-eight".