66766272 has 56 divisors (see below), whose sum is σ = 180782976. Its totient is φ = 21735168.

The previous prime is 66766261. The next prime is 66766283. The reversal of 66766272 is 27266766.

It is an interprime number because it is at equal distance from previous prime (66766261) and next prime (66766283).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4213 + ... + 12299.

Almost surely, 2^66766272 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 66766272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90391488).

66766272 is an abundant number, since it is smaller than the sum of its proper divisors (114016704).

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

66766272 is a wasteful number, since it uses less digits than its factorization.

66766272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8145 (or 8135 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 66766272 is about 8171.0630887296. The cubic root of 66766272 is about 405.6819724692.

The spelling of 66766272 in words is "sixty-six million, seven hundred sixty-six thousand, two hundred seventy-two".