65872 has 20 divisors (see below), whose sum is σ = 133920. Its totient is φ = 31328.

The previous prime is 65867. The next prime is 65881. The reversal of 65872 is 27856.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (3360) is a multiple of the sum of its prime factors (210).

It is a self number, because there is not a number n which added to its sum of digits gives 65872.

It is a congruent number.

It is an unprimeable number.

65872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 279 + ... + 457.

It is an arithmetic number, because the mean of its divisors is an integer number (6696).

2⁶⁵⁸⁷² 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 65872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

65872 is an abundant number, since it is smaller than the sum of its proper divisors (68048).

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

65872 is a wasteful number, since it uses less digits than its factorization.

65872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 65872 is about 256.6554110086. The cubic root of 65872 is about 40.3862581110.

The spelling of 65872 in words is "sixty-five thousand, eight hundred seventy-two".