66287200 has 216 divisors, whose sum is σ = 200377800. Its totient is φ = 21288960.

The previous prime is 66287191. The next prime is 66287213. The reversal of 66287200 is 278266.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 744756 + ... + 744844.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 2^66287200 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 66287200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100188900).

66287200 is an abundant number, since it is smaller than the sum of its proper divisors (134090600).

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

66287200 is a wasteful number, since it uses less digits than its factorization.

66287200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 66287200 is about 8141.6951551873. The cubic root of 66287200 is about 404.7093377551.

The spelling of 66287200 in words is "sixty-six million, two hundred eighty-seven thousand, two hundred".