66123252 has 72 divisors (see below), whose sum is σ = 187858944. Its totient is φ = 19457856.

The previous prime is 66123209. The next prime is 66123257. The reversal of 66123252 is 25232166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66123257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7693 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (2609152).

Almost surely, 2^66123252 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 66123252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93929472).

66123252 is an abundant number, since it is smaller than the sum of its proper divisors (121735692).

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

66123252 is a wasteful number, since it uses less digits than its factorization.

66123252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6189 (or 6184 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 66123252 is about 8131.6205027042. The cubic root of 66123252 is about 404.3754066997.

The spelling of 66123252 in words is "sixty-six million, one hundred twenty-three thousand, two hundred fifty-two".