64735872 has 64 divisors (see below), whose sum is σ = 172877760. Its totient is φ = 21463040.

The previous prime is 64735871. The next prime is 64735901. The reversal of 64735872 is 27853746.

64735872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (64735871) 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 7 ways as a sum of consecutive naturals, for example, 100672 + ... + 101312.

It is an arithmetic number, because the mean of its divisors is an integer number (2701215).

Almost surely, 2^64735872 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 64735872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86438880).

64735872 is an abundant number, since it is smaller than the sum of its proper divisors (108141888).

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

64735872 is a wasteful number, since it uses less digits than its factorization.

64735872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 909 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 64735872 is about 8045.8605506186. The cubic root of 64735872 is about 401.5272281807.

The spelling of 64735872 in words is "sixty-four million, seven hundred thirty-five thousand, eight hundred seventy-two".