66792252 has 48 divisors (see below), whose sum is σ = 169495200. Its totient is φ = 20385792.

The previous prime is 66792251. The next prime is 66792263. The reversal of 66792252 is 25229766.

It is a happy number.

It is a super-2 number, since 2×66792252² = 8922409854463008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66792252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66792251) 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 15 ways as a sum of consecutive naturals, for example, 3124 + ... + 11972.

It is an arithmetic number, because the mean of its divisors is an integer number (3531150).

Almost surely, 2^66792252 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 66792252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84747600).

66792252 is an abundant number, since it is smaller than the sum of its proper divisors (102702948).

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

66792252 is a wasteful number, since it uses less digits than its factorization.

66792252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8910 (or 8908 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 66792252 is about 8172.6526905283. The cubic root of 66792252 is about 405.7345851161.

The spelling of 66792252 in words is "sixty-six million, seven hundred ninety-two thousand, two hundred fifty-two".