66363072 has 56 divisors (see below), whose sum is σ = 176217072. Its totient is φ = 22041600.

The previous prime is 66363071. The next prime is 66363083. The reversal of 66363072 is 27036366.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66363071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80422 + ... + 81242.

Almost surely, 2^66363072 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 66363072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88108536).

66363072 is an abundant number, since it is smaller than the sum of its proper divisors (109854000).

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

66363072 is a wasteful number, since it uses less digits than its factorization.

66363072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

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

The square root of 66363072 is about 8146.3532945730. The cubic root of 66363072 is about 404.8636883133.

The spelling of 66363072 in words is "sixty-six million, three hundred sixty-three thousand, seventy-two".