249678072 has 128 divisors (see below), whose sum is σ = 814233600. Its totient is φ = 69393024.

The previous prime is 249678067. The next prime is 249678073. The reversal of 249678072 is 270876942.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249678073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53713 + ... + 58175.

It is an arithmetic number, because the mean of its divisors is an integer number (6361200).

Almost surely, 2^249678072 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 249678072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407116800).

249678072 is an abundant number, since it is smaller than the sum of its proper divisors (564555528).

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

249678072 is a wasteful number, since it uses less digits than its factorization.

249678072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 249678072 is about 15801.2047641944. The cubic root of 249678072 is about 629.6900062216.

The spelling of 249678072 in words is "two hundred forty-nine million, six hundred seventy-eight thousand, seventy-two".