66362272 has 24 divisors (see below), whose sum is σ = 133839972. Its totient is φ = 32371200.

The previous prime is 66362249. The next prime is 66362323. The reversal of 66362272 is 27226366.

It can be written as a sum of positive squares in 2 ways, for example, as 64064016 + 2298256 = 8004^2 + 1516^2 .

It is a super-2 number, since 2×66362272² = 8807902290003968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 23979 + ... + 26602.

Almost surely, 2^66362272 is an apocalyptic number.

It is an amenable number.

66362272 is an abundant number, since it is smaller than the sum of its proper divisors (67477700).

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

66362272 is a wasteful number, since it uses less digits than its factorization.

66362272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50632 (or 50624 counting only the distinct ones).

The product of its digits is 36288, while the sum is 34.

The square root of 66362272 is about 8146.3041926999. The cubic root of 66362272 is about 404.8620614434.

The spelling of 66362272 in words is "sixty-six million, three hundred sixty-two thousand, two hundred seventy-two".