65728000 has 160 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 23961600.

The previous prime is 65727983. The next prime is 65728031. The reversal of 65728000 is 82756.

65728000 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 (160).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 65728000 = 120³ + 400³ = 310³ + 330³.

It is a self number, because there is not a number n which added to its sum of digits gives 65728000.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 831961 + ... + 832039.

It is an arithmetic number, because the mean of its divisors is an integer number (1117116).

Almost surely, 2^65728000 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 65728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

65728000 is an abundant number, since it is smaller than the sum of its proper divisors (113010560).

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

65728000 is an equidigital number, since it uses as much as digits as its factorization.

65728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

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

The square root of 65728000 is about 8107.2806785013. The cubic root of 65728000 is about 403.5680774217.

The spelling of 65728000 in words is "sixty-five million, seven hundred twenty-eight thousand".