66744252 has 72 divisors (see below), whose sum is σ = 177559200. Its totient is φ = 21098880.

The previous prime is 66744221. The next prime is 66744253. The reversal of 66744252 is 25244766.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66744253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123102 + ... + 123642.

It is an arithmetic number, because the mean of its divisors is an integer number (2466100).

Almost surely, 2^66744252 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 66744252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88779600).

66744252 is an abundant number, since it is smaller than the sum of its proper divisors (110814948).

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

66744252 is a wasteful number, since it uses less digits than its factorization.

66744252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 718 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 66744252 is about 8169.7155397235. The cubic root of 66744252 is about 405.6373686145.

The spelling of 66744252 in words is "sixty-six million, seven hundred forty-four thousand, two hundred fifty-two".