865359072 has 96 divisors (see below), whose sum is σ = 2611072800. Its totient is φ = 278498304.

The previous prime is 865359059. The next prime is 865359073. The reversal of 865359072 is 270953568.

It is a happy number.

865359072 is a `hidden beast` number, since 8 + 6 + 53 + 590 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (865359073) 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, 7788 + ... + 42324.

It is an arithmetic number, because the mean of its divisors is an integer number (27198675).

Almost surely, 2^865359072 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 865359072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305536400).

865359072 is an abundant number, since it is smaller than the sum of its proper divisors (1745713728).

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

865359072 is a wasteful number, since it uses less digits than its factorization.

865359072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34585 (or 34571 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 865359072 is about 29416.9861134685. The cubic root of 865359072 is about 952.9397659303.

The spelling of 865359072 in words is "eight hundred sixty-five million, three hundred fifty-nine thousand, seventy-two".