66372306 has 128 divisors (see below), whose sum is σ = 183085056. Its totient is φ = 15482880.

The previous prime is 66372289. The next prime is 66372307. The reversal of 66372306 is 60327366.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (66372307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258130 + ... + 258386.

It is an arithmetic number, because the mean of its divisors is an integer number (1430352).

Almost surely, 2^66372306 is an apocalyptic number.

66372306 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 66372306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91542528).

66372306 is an abundant number, since it is smaller than the sum of its proper divisors (116712750).

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

66372306 is a wasteful number, since it uses less digits than its factorization.

66372306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336.

The product of its (nonzero) digits is 27216, while the sum is 33.

The square root of 66372306 is about 8146.9200315211. The cubic root of 66372306 is about 404.8824655127.

The spelling of 66372306 in words is "sixty-six million, three hundred seventy-two thousand, three hundred six".