249072 has 20 divisors (see below), whose sum is σ = 643560. Its totient is φ = 83008.

The previous prime is 249059. The next prime is 249079. The reversal of 249072 is 270942.

It is a super-2 number, since 2×249072² = 124073722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 14.

It is a zygodrome in base 2.

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 249072.

It is not an unprimeable number, because it can be changed into a prime (249079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2547 + ... + 2642.

It is an arithmetic number, because the mean of its divisors is an integer number (32178).

2²⁴⁹⁰⁷² is an apocalyptic number.

It is an amenable number.

249072 is an abundant number, since it is smaller than the sum of its proper divisors (394488).

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

249072 is a wasteful number, since it uses less digits than its factorization.

249072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5200 (or 5194 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 249072 is about 499.0711372139. The cubic root of 249072 is about 62.9180087332.

The spelling of 249072 in words is "two hundred forty-nine thousand, seventy-two".