66075200 has 84 divisors (see below), whose sum is σ = 165495732. Its totient is φ = 25958400.

The previous prime is 66075187. The next prime is 66075223. The reversal of 66075200 is 257066.

It can be written as a sum of positive squares in 6 ways, for example, as 529984 + 65545216 = 728^2 + 8096^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66075200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97262 + ... + 97938.

Almost surely, 2^66075200 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 66075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82747866).

66075200 is an abundant number, since it is smaller than the sum of its proper divisors (99420532).

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

66075200 is a wasteful number, since it uses less digits than its factorization.

66075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 66075200 is about 8128.6653271001. The cubic root of 66075200 is about 404.2774292852.

The spelling of 66075200 in words is "sixty-six million, seventy-five thousand, two hundred".