66007200 has 144 divisors (see below), whose sum is σ = 245609280. Its totient is φ = 15083520.

The previous prime is 66007187. The next prime is 66007211. The reversal of 66007200 is 270066.

66007200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 14836 + ... + 18764.

It is an arithmetic number, because the mean of its divisors is an integer number (1705620).

Almost surely, 2^66007200 is an apocalyptic number.

66007200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122804640).

66007200 is an abundant number, since it is smaller than the sum of its proper divisors (179602080).

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

66007200 is a wasteful number, since it uses less digits than its factorization.

66007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3959 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 66007200 is about 8124.4815219188. The cubic root of 66007200 is about 404.1386969461.

Adding to 66007200 its reverse (270066), we get a palindrome (66277266).

The spelling of 66007200 in words is "sixty-six million, seven thousand, two hundred".