66206472 has 64 divisors (see below), whose sum is σ = 172488960. Its totient is φ = 21158400.

The previous prime is 66206471. The next prime is 66206479. The reversal of 66206472 is 27460266.

66206472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (66206471) 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, 59473 + ... + 60575.

It is an arithmetic number, because the mean of its divisors is an integer number (2695140).

Almost surely, 2^66206472 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 66206472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

66206472 is an abundant number, since it is smaller than the sum of its proper divisors (106282488).

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

66206472 is a wasteful number, since it uses less digits than its factorization.

66206472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 66206472 is about 8136.7359549146. The cubic root of 66206472 is about 404.5449789882.

The spelling of 66206472 in words is "sixty-six million, two hundred six thousand, four hundred seventy-two".