249999972 has 48 divisors (see below), whose sum is σ = 625172352. Its totient is φ = 77552640.

The previous prime is 249999941. The next prime is 249999991. The reversal of 249999972 is 279999942.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2029 + ... + 22452.

It is an arithmetic number, because the mean of its divisors is an integer number (13024424).

Almost surely, 2^249999972 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 249999972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312586176).

249999972 is an abundant number, since it is smaller than the sum of its proper divisors (375172380).

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

249999972 is a wasteful number, since it uses less digits than its factorization.

249999972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24548 (or 24546 counting only the distinct ones).

The product of its digits is 6613488, while the sum is 60.

The square root of 249999972 is about 15811.3874154041. The cubic root of 249999972 is about 629.9605014289.

It can be divided in two parts, 24999997 and 2, that multiplied together give a palindrome (49999994).

The spelling of 249999972 in words is "two hundred forty-nine million, nine hundred ninety-nine thousand, nine hundred seventy-two".