66747200 has 84 divisors (see below), whose sum is σ = 176928780. Its totient is φ = 24637440.

The previous prime is 66747199. The next prime is 66747211. The reversal of 66747200 is 274766.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 6031936 + 60715264 = 2456^2 + 7792^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19196 + ... + 22404.

It is an arithmetic number, because the mean of its divisors is an integer number (2106295).

Almost surely, 2^66747200 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 66747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88464390).

66747200 is an abundant number, since it is smaller than the sum of its proper divisors (110181580).

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

66747200 is a wasteful number, since it uses less digits than its factorization.

66747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3244 (or 3229 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 66747200 is about 8169.8959601699. The cubic root of 66747200 is about 405.6433406712.

The spelling of 66747200 in words is "sixty-six million, seven hundred forty-seven thousand, two hundred".