66360672 has 72 divisors (see below), whose sum is σ = 215678736. Its totient is φ = 18959616.

The previous prime is 66360661. The next prime is 66360703. The reversal of 66360672 is 27606366.

66360672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 14443 + ... + 18474.

It is an arithmetic number, because the mean of its divisors is an integer number (2995538).

Almost surely, 2^66360672 is an apocalyptic number.

It is an amenable number.

66360672 is an abundant number, since it is smaller than the sum of its proper divisors (149318064).

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

66360672 is a wasteful number, since it uses less digits than its factorization.

66360672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32940 (or 32929 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 66360672 is about 8146.2059880659. The cubic root of 66360672 is about 404.8588076644.

The spelling of 66360672 in words is "sixty-six million, three hundred sixty thousand, six hundred seventy-two".