64872 has 48 divisors (see below), whose sum is σ = 189540. Its totient is φ = 19968.

The previous prime is 64871. The next prime is 64877. The reversal of 64872 is 27846.

64872 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 4356 = 246^2 + 66^2 .

It is not an unprimeable number, because it can be changed into a prime (64871) 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, 1198 + ... + 1250.

2⁶⁴⁸⁷² 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 64872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94770).

64872 is an abundant number, since it is smaller than the sum of its proper divisors (124668).

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

64872 is a wasteful number, since it uses less digits than its factorization.

64872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 64872 is about 254.6998233215. The cubic root of 64872 is about 40.1808477864.

It can be divided in two parts, 648 and 72, that multiplied together give a 6-th power (46656 = 6⁶).

The spelling of 64872 in words is "sixty-four thousand, eight hundred seventy-two".