66247200 has 144 divisors (see below), whose sum is σ = 239672160. Its totient is φ = 17660160.

The previous prime is 66247169. The next prime is 66247201. The reversal of 66247200 is 274266.

66247200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (66247201) 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 23 ways as a sum of consecutive naturals, for example, 20067 + ... + 23133.

It is an arithmetic number, because the mean of its divisors is an integer number (1664390).

Almost surely, 2^66247200 is an apocalyptic number.

66247200 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 66247200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119836080).

66247200 is an abundant number, since it is smaller than the sum of its proper divisors (173424960).

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

66247200 is a wasteful number, since it uses less digits than its factorization.

66247200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 66247200 is about 8139.2382935997. The cubic root of 66247200 is about 404.6279161493.

It can be divided in two parts, 6624 and 7200, that added together give a cube (13824 = 24³).

The spelling of 66247200 in words is "sixty-six million, two hundred forty-seven thousand, two hundred".