66875712 has 56 divisors (see below), whose sum is σ = 179222400. Its totient is φ = 22004736.

The previous prime is 66875701. The next prime is 66875717. The reversal of 66875712 is 21757866.

66875712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66875717) 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 7 ways as a sum of consecutive naturals, for example, 12964 + ... + 17372.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2^66875712 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 66875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89611200).

66875712 is an abundant number, since it is smaller than the sum of its proper divisors (112346688).

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

66875712 is a wasteful number, since it uses less digits than its factorization.

66875712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503 (or 4493 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The square root of 66875712 is about 8177.7571497324. The cubic root of 66875712 is about 405.9035094696.

The spelling of 66875712 in words is "sixty-six million, eight hundred seventy-five thousand, seven hundred twelve".