66237072 has 80 divisors (see below), whose sum is σ = 187726080. Its totient is φ = 19958400.

The previous prime is 66237047. The next prime is 66237077. The reversal of 66237072 is 27073266.

66237072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66237077) 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 15 ways as a sum of consecutive naturals, for example, 174579 + ... + 174957.

It is an arithmetic number, because the mean of its divisors is an integer number (2346576).

Almost surely, 2^66237072 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 66237072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93863040).

66237072 is an abundant number, since it is smaller than the sum of its proper divisors (121489008).

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

66237072 is a wasteful number, since it uses less digits than its factorization.

66237072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 66237072 is about 8138.6160985760. The cubic root of 66237072 is about 404.6072949990.

It can be divided in two parts, 6623 and 7072, that added together give a triangular number (13695 = T₁₆₅).

The spelling of 66237072 in words is "sixty-six million, two hundred thirty-seven thousand, seventy-two".