66213252 has 72 divisors (see below), whose sum is σ = 201364800. Its totient is φ = 17921088.

The previous prime is 66213247. The next prime is 66213253. The reversal of 66213252 is 25231266.

66213252 is a `hidden beast` number, since 6 + 621 + 32 + 5 + 2 = 666.

66213252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66213253) 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 23 ways as a sum of consecutive naturals, for example, 2127 + ... + 11702.

Almost surely, 2^66213252 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 66213252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100682400).

66213252 is an abundant number, since it is smaller than the sum of its proper divisors (135151548).

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

66213252 is a wasteful number, since it uses less digits than its factorization.

66213252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13865 (or 13860 counting only the distinct ones).

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

The square root of 66213252 is about 8137.1525732285. The cubic root of 66213252 is about 404.5587879168.

The spelling of 66213252 in words is "sixty-six million, two hundred thirteen thousand, two hundred fifty-two".