726608256 has 192 divisors, whose sum is σ = 2187777600. Its totient is φ = 211891200.

The previous prime is 726608227. The next prime is 726608263. The reversal of 726608256 is 652806627.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 4059175 + ... + 4059353.

It is an arithmetic number, because the mean of its divisors is an integer number (11394675).

Almost surely, 2^726608256 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 726608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093888800).

726608256 is an abundant number, since it is smaller than the sum of its proper divisors (1461169344).

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

726608256 is a wasteful number, since it uses less digits than its factorization.

726608256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 726608256 is about 26955.6720561740. The cubic root of 726608256 is about 899.0146648420.

The spelling of 726608256 in words is "seven hundred twenty-six million, six hundred eight thousand, two hundred fifty-six".