66935752 has 32 divisors (see below), whose sum is σ = 136886400. Its totient is φ = 30498624.

The previous prime is 66935707. The next prime is 66935753. The reversal of 66935752 is 25753966.

It is a junction number, because it is equal to n+sod(n) for n = 66935699 and 66935708.

It is not an unprimeable number, because it can be changed into a prime (66935753) 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 7 ways as a sum of consecutive naturals, for example, 4143 + ... + 12289.

It is an arithmetic number, because the mean of its divisors is an integer number (4277700).

Almost surely, 2^66935752 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 66935752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68443200).

66935752 is an abundant number, since it is smaller than the sum of its proper divisors (69950648).

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

66935752 is a wasteful number, since it uses less digits than its factorization.

66935752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8241 counting only the distinct ones).

The product of its digits is 340200, while the sum is 43.

The square root of 66935752 is about 8181.4272593478. The cubic root of 66935752 is about 406.0249444743.

The spelling of 66935752 in words is "sixty-six million, nine hundred thirty-five thousand, seven hundred fifty-two".