249972 has 24 divisors (see below), whose sum is σ = 600096. Its totient is φ = 80928.

The previous prime is 249971. The next prime is 249973. The reversal of 249972 is 279942.

249972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (249971) and next prime (249973).

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 249972.

It is not an unprimeable number, because it can be changed into a prime (249971) 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, 163 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (25004).

2²⁴⁹⁹⁷² is an apocalyptic number.

It is an amenable number.

249972 is an abundant number, since it is smaller than the sum of its proper divisors (350124).

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

249972 is a wasteful number, since it uses less digits than its factorization.

249972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 605 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 249972 is about 499.9719992160. The cubic root of 249972 is about 62.9937005543.

It can be divided in two parts, 24997 and 2, that multiplied together give a palindrome (49994).

The spelling of 249972 in words is "two hundred forty-nine thousand, nine hundred seventy-two".