66097728 has 112 divisors (see below), whose sum is σ = 201168000. Its totient is φ = 21256704.

The previous prime is 66097693. The next prime is 66097747. The reversal of 66097728 is 82779066.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49453 + ... + 50771.

Almost surely, 2^66097728 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 66097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100584000).

66097728 is an abundant number, since it is smaller than the sum of its proper divisors (135070272).

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

66097728 is a wasteful number, since it uses less digits than its factorization.

66097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 66097728 is about 8130.0509223497. The cubic root of 66097728 is about 404.3233695021.

The spelling of 66097728 in words is "sixty-six million, ninety-seven thousand, seven hundred twenty-eight".