66246752 has 96 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 26841600.

The previous prime is 66246751. The next prime is 66246757. The reversal of 66246752 is 25764266.

66246752 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 (66246751) 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 15 ways as a sum of consecutive naturals, for example, 141623 + ... + 142089.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2^66246752 is an apocalyptic number.

66246752 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66246752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

66246752 is an abundant number, since it is smaller than the sum of its proper divisors (92259232).

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

66246752 is a wasteful number, since it uses less digits than its factorization.

66246752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its digits is 120960, while the sum is 38.

The square root of 66246752 is about 8139.2107725504. The cubic root of 66246752 is about 404.6270040417.

The spelling of 66246752 in words is "sixty-six million, two hundred forty-six thousand, seven hundred fifty-two".