64084272 has 80 divisors (see below), whose sum is σ = 191416320. Its totient is φ = 18095616.

The previous prime is 64084243. The next prime is 64084277. The reversal of 64084272 is 27248046.

64084272 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 (64084277) 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, 28833 + ... + 30975.

It is an arithmetic number, because the mean of its divisors is an integer number (2392704).

Almost surely, 2^64084272 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 64084272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95708160).

64084272 is an abundant number, since it is smaller than the sum of its proper divisors (127332048).

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

64084272 is a wasteful number, since it uses less digits than its factorization.

64084272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2250 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 64084272 is about 8005.2652673100. The cubic root of 64084272 is about 400.1754896639.

The spelling of 64084272 in words is "sixty-four million, eighty-four thousand, two hundred seventy-two".