65836872 has 48 divisors (see below), whose sum is σ = 179965500. Its totient is φ = 21741696.

The previous prime is 65836867. The next prime is 65836877. The reversal of 65836872 is 27863856.

65836872 is a `hidden beast` number, since 6 + 583 + 68 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (65836867) and next prime (65836877).

It can be written as a sum of positive squares in 2 ways, for example, as 59814756 + 6022116 = 7734^2 + 2454^2 .

It is not an unprimeable number, because it can be changed into a prime (65836877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3654 + ... + 12042.

Almost surely, 2^65836872 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 65836872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89982750).

65836872 is an abundant number, since it is smaller than the sum of its proper divisors (114128628).

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

65836872 is a wasteful number, since it uses less digits than its factorization.

65836872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8510 (or 8503 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 65836872 is about 8113.9923588823. The cubic root of 65836872 is about 403.7907781822.

The spelling of 65836872 in words is "sixty-five million, eight hundred thirty-six thousand, eight hundred seventy-two".