63872 has 16 divisors (see below), whose sum is σ = 127500. Its totient is φ = 31872.

The previous prime is 63863. The next prime is 63901. The reversal of 63872 is 27836.

It is a tau number, because it is divible by the number of its divisors (16).

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

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 122 + ... + 377.

2⁶³⁸⁷² is an apocalyptic number.

It is an amenable number.

63872 is a deficient number, since it is larger than the sum of its proper divisors (63628).

63872 is an equidigital number, since it uses as much as digits as its factorization.

63872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its digits is 2016, while the sum is 26.

The square root of 63872 is about 252.7291039829. The cubic root of 63872 is about 39.9733155358.

It can be divided in two parts, 6 and 3872, that multiplied together give a palindrome (23232).

The spelling of 63872 in words is "sixty-three thousand, eight hundred seventy-two".