183872 has 42 divisors (see below), whose sum is σ = 418338. Its totient is φ = 79872.

The previous prime is 183871. The next prime is 183877. The reversal of 183872 is 278381.

183872 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 3 ways, for example, as 4096 + 179776 = 64^2 + 424^2 .

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

Its product of digits (2688) is a multiple of the sum of its prime divisors (32).

It is not an unprimeable number, because it can be changed into a prime (183871) by changing a digit.

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 in 5 ways as a sum of consecutive naturals, for example, 10808 + ... + 10824.

2¹⁸³⁸⁷² 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 183872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209169).

183872 is an abundant number, since it is smaller than the sum of its proper divisors (234466).

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

183872 is a wasteful number, since it uses less digits than its factorization.

183872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 32 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 183872 is about 428.8029850642. The cubic root of 183872 is about 56.8641475892.

It can be divided in two parts, 18 and 3872, that multiplied together give a palindrome (69696).

The spelling of 183872 in words is "one hundred eighty-three thousand, eight hundred seventy-two".