64518272 has 128 divisors (see below), whose sum is σ = 164505600. Its totient is φ = 24514560.

The previous prime is 64518271. The next prime is 64518283. The reversal of 64518272 is 27281546.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (64518271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337697 + ... + 337887.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200).

Almost surely, 2^64518272 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 64518272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82252800).

64518272 is an abundant number, since it is smaller than the sum of its proper divisors (99987328).

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

64518272 is a wasteful number, since it uses less digits than its factorization.

64518272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 242 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 64518272 is about 8032.3266865834. The cubic root of 64518272 is about 401.0768318151.

The spelling of 64518272 in words is "sixty-four million, five hundred eighteen thousand, two hundred seventy-two".