64314072 has 96 divisors (see below), whose sum is σ = 184654080. Its totient is φ = 20180160.

The previous prime is 64314059. The next prime is 64314079. The reversal of 64314072 is 27041346.

64314072 is a `hidden beast` number, since 643 + 14 + 0 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64314079) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117303 + ... + 117849.

It is an arithmetic number, because the mean of its divisors is an integer number (1923480).

Almost surely, 2^64314072 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 64314072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92327040).

64314072 is an abundant number, since it is smaller than the sum of its proper divisors (120340008).

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

64314072 is a wasteful number, since it uses less digits than its factorization.

64314072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 64314072 is about 8019.6054765805. The cubic root of 64314072 is about 400.6532492495.

The spelling of 64314072 in words is "sixty-four million, three hundred fourteen thousand, seventy-two".