66724200 has 144 divisors (see below), whose sum is σ = 235996800. Its totient is φ = 16848000.

The previous prime is 66724199. The next prime is 66724211. The reversal of 66724200 is 242766.

66724200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 35 ways as a sum of consecutive naturals, for example, 33225 + ... + 35175.

Almost surely, 2^66724200 is an apocalyptic number.

66724200 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 66724200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117998400).

66724200 is an abundant number, since it is smaller than the sum of its proper divisors (169272600).

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

66724200 is a wasteful number, since it uses less digits than its factorization.

66724200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1980 counting only the distinct ones).

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

The square root of 66724200 is about 8168.4882322251. The cubic root of 66724200 is about 405.5967426182.

Adding to 66724200 its reverse (242766), we get a palindrome (66966966).

The spelling of 66724200 in words is "sixty-six million, seven hundred twenty-four thousand, two hundred".