726106304 has 224 divisors, whose sum is σ = 1911705600. Its totient is φ = 270950400.

The previous prime is 726106267. The next prime is 726106309. The reversal of 726106304 is 403601627.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (726106309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7485584 + ... + 7485680.

It is an arithmetic number, because the mean of its divisors is an integer number (8534400).

Almost surely, 2^726106304 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 726106304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955852800).

726106304 is an abundant number, since it is smaller than the sum of its proper divisors (1185599296).

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

726106304 is a wasteful number, since it uses less digits than its factorization.

726106304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 726106304 is about 26946.3597541486. The cubic root of 726106304 is about 898.8075994997.

The spelling of 726106304 in words is "seven hundred twenty-six million, one hundred six thousand, three hundred four".