66368272 has 60 divisors (see below), whose sum is σ = 141308416. Its totient is φ = 30159360.

The previous prime is 66368249. The next prime is 66368287. The reversal of 66368272 is 27286366.

66368272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 143113 + ... + 143575.

Almost surely, 2^66368272 is an apocalyptic number.

66368272 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66368272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70654208).

66368272 is an abundant number, since it is smaller than the sum of its proper divisors (74940144).

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

66368272 is a wasteful number, since it uses less digits than its factorization.

66368272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 513 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 66368272 is about 8146.6724495342. The cubic root of 66368272 is about 404.8742626489.

The spelling of 66368272 in words is "sixty-six million, three hundred sixty-eight thousand, two hundred seventy-two".