66967752 has 64 divisors (see below), whose sum is σ = 171864000. Its totient is φ = 21738240.

The previous prime is 66967741. The next prime is 66967759. The reversal of 66967752 is 25776966.

It is not an unprimeable number, because it can be changed into a prime (66967759) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217983 + ... + 218289.

It is an arithmetic number, because the mean of its divisors is an integer number (2685375).

Almost surely, 2^66967752 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 66967752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85932000).

66967752 is an abundant number, since it is smaller than the sum of its proper divisors (104896248).

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

66967752 is a wasteful number, since it uses less digits than its factorization.

66967752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 522 counting only the distinct ones).

The product of its digits is 952560, while the sum is 48.

The square root of 66967752 is about 8183.3826746646. The cubic root of 66967752 is about 406.0896369986.

The spelling of 66967752 in words is "sixty-six million, nine hundred sixty-seven thousand, seven hundred fifty-two".