66325728 has 96 divisors (see below), whose sum is σ = 200309760. Its totient is φ = 18823680.

The previous prime is 66325703. The next prime is 66325729. The reversal of 66325728 is 82752366.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (120960) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66325729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153673 + ... + 154103.

It is an arithmetic number, because the mean of its divisors is an integer number (2086560).

Almost surely, 2^66325728 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 66325728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100154880).

66325728 is an abundant number, since it is smaller than the sum of its proper divisors (133984032).

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

66325728 is a wasteful number, since it uses less digits than its factorization.

66325728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 66325728 is about 8144.0609035051. The cubic root of 66325728 is about 404.7877320825.

The spelling of 66325728 in words is "sixty-six million, three hundred twenty-five thousand, seven hundred twenty-eight".