726526944 has 432 divisors, whose sum is σ = 2589874560. Its totient is φ = 191093760.

The previous prime is 726526903. The next prime is 726526949. The reversal of 726526944 is 449625627.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (725760) is a multiple of the sum of its prime factors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 726526944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726526949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12313987 + ... + 12314045.

It is an arithmetic number, because the mean of its divisors is an integer number (5995080).

Almost surely, 2^726526944 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 726526944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294937280).

726526944 is an abundant number, since it is smaller than the sum of its proper divisors (1863347616).

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

726526944 is a wasteful number, since it uses less digits than its factorization.

726526944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 726526944 is about 26954.1637599834. The cubic root of 726526944 is about 898.9811284732.

The spelling of 726526944 in words is "seven hundred twenty-six million, five hundred twenty-six thousand, nine hundred forty-four".