249138072 has 128 divisors (see below), whose sum is σ = 739584000. Its totient is φ = 77535360.

The previous prime is 249138011. The next prime is 249138083. The reversal of 249138072 is 270831942.

It is a super-3 number, since 3×249138072³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193543 + ... + 194825.

It is an arithmetic number, because the mean of its divisors is an integer number (5778000).

Almost surely, 2^249138072 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 249138072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369792000).

249138072 is an abundant number, since it is smaller than the sum of its proper divisors (490445928).

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

249138072 is a wasteful number, since it uses less digits than its factorization.

249138072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 249138072 is about 15784.1082104755. The cubic root of 249138072 is about 629.2357171782.

The spelling of 249138072 in words is "two hundred forty-nine million, one hundred thirty-eight thousand, seventy-two".