123872 has 36 divisors (see below), whose sum is σ = 287280. Its totient is φ = 52416.

The previous prime is 123863. The next prime is 123887. The reversal of 123872 is 278321.

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

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

123872 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 5 ways as a sum of consecutive naturals, for example, 1529 + ... + 1607.

It is an arithmetic number, because the mean of its divisors is an integer number (7980).

2¹²³⁸⁷² 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 123872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143640).

123872 is an abundant number, since it is smaller than the sum of its proper divisors (163408).

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

123872 is an equidigital number, since it uses as much as digits as its factorization.

123872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 88 counting only the distinct ones).

The product of its digits is 672, while the sum is 23.

The square root of 123872 is about 351.9545425193. The cubic root of 123872 is about 49.8491453150.

Subtracting 123872 from its reverse (278321), we obtain a square (154449 = 393²).

It can be divided in two parts, 12 and 3872, that multiplied together give a palindrome (46464).

The spelling of 123872 in words is "one hundred twenty-three thousand, eight hundred seventy-two".