66107200 has 84 divisors (see below), whose sum is σ = 165039040. Its totient is φ = 26058240.

The previous prime is 66107191. The next prime is 66107207. The reversal of 66107200 is 270166.

66107200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66107207) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 126139 + ... + 126661.

Almost surely, 2^66107200 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 66107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82519520).

66107200 is an abundant number, since it is smaller than the sum of its proper divisors (98931840).

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

66107200 is a wasteful number, since it uses less digits than its factorization.

66107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 66107200 is about 8130.6334316583. The cubic root of 66107200 is about 404.3426821580.

Adding to 66107200 its reverse (270166), we get a palindrome (66377366).

The spelling of 66107200 in words is "sixty-six million, one hundred seven thousand, two hundred".