726641760 has 384 divisors, whose sum is σ = 2645830656. Its totient is φ = 166256640.

The previous prime is 726641753. The next prime is 726641809. The reversal of 726641760 is 67146627.

726641760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8754679 + ... + 8754761.

It is an arithmetic number, because the mean of its divisors is an integer number (6890184).

Almost surely, 2^726641760 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 726641760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322915328).

726641760 is an abundant number, since it is smaller than the sum of its proper divisors (1919188896).

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

726641760 is a wasteful number, since it uses less digits than its factorization.

726641760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 726641760 is about 26956.2935137604. The cubic root of 726641760 is about 899.0284825235.

The spelling of 726641760 in words is "seven hundred twenty-six million, six hundred forty-one thousand, seven hundred sixty".