249872 has 40 divisors (see below), whose sum is σ = 583296. Its totient is φ = 101376.

The previous prime is 249871. The next prime is 249881. The reversal of 249872 is 278942.

249872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 249872.

It is not an unprimeable number, because it can be changed into a prime (249871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2528 + ... + 2624.

2²⁴⁹⁸⁷² 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 249872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648).

249872 is an abundant number, since it is smaller than the sum of its proper divisors (333424).

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

249872 is a wasteful number, since it uses less digits than its factorization.

249872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 249872 is about 499.8719836118. The cubic root of 249872 is about 62.9852993330.

The spelling of 249872 in words is "two hundred forty-nine thousand, eight hundred seventy-two".