726018048 has 288 divisors, whose sum is σ = 2545058880. Its totient is φ = 194641920.

The previous prime is 726018011. The next prime is 726018049. The reversal of 726018048 is 840810627.

726018048 is a `hidden beast` number, since 7 + 2 + 601 + 8 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (726018049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2193243 + ... + 2193573.

It is an arithmetic number, because the mean of its divisors is an integer number (8837010).

Almost surely, 2^726018048 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 726018048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272529440).

726018048 is an abundant number, since it is smaller than the sum of its proper divisors (1819040832).

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

726018048 is a wasteful number, since it uses less digits than its factorization.

726018048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 726018048 is about 26944.7220805857. The cubic root of 726018048 is about 898.7711822528.

The spelling of 726018048 in words is "seven hundred twenty-six million, eighteen thousand, forty-eight".