249987072 has 64 divisors (see below), whose sum is σ = 666884160. Its totient is φ = 83296256.

The previous prime is 249987053. The next prime is 249987097. The reversal of 249987072 is 270789942.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97033 + ... + 99575.

It is an arithmetic number, because the mean of its divisors is an integer number (10420065).

Almost surely, 2^249987072 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 249987072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333442080).

249987072 is an abundant number, since it is smaller than the sum of its proper divisors (416897088).

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

249987072 is an frugal number, since it uses more digits than its factorization.

249987072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 249987072 is about 15810.9794763006. The cubic root of 249987072 is about 629.9496659207.

It can be divided in two parts, 2499870 and 72, that added together give a palindrome (2499942).

The spelling of 249987072 in words is "two hundred forty-nine million, nine hundred eighty-seven thousand, seventy-two".