726249888 has 240 divisors, whose sum is σ = 2629630080. Its totient is φ = 191476224.

The previous prime is 726249869. The next prime is 726249889. The reversal of 726249888 is 888942627.

726249888 is a `hidden beast` number, since 7 + 2 + 624 + 9 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (726249889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 234333 + ... + 237411.

It is an arithmetic number, because the mean of its divisors is an integer number (10956792).

Almost surely, 2^726249888 is an apocalyptic number.

726249888 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726249888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314815040).

726249888 is an abundant number, since it is smaller than the sum of its proper divisors (1903380192).

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

726249888 is a wasteful number, since it uses less digits than its factorization.

726249888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3104 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 726249888 is about 26949.0238784265. The cubic root of 726249888 is about 898.8668405428.

The spelling of 726249888 in words is "seven hundred twenty-six million, two hundred forty-nine thousand, eight hundred eighty-eight".