726351360 has 320 divisors, whose sum is σ = 2710540800. Its totient is φ = 162496512.

The previous prime is 726351347. The next prime is 726351397. The reversal of 726351360 is 63153627.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 3171726 + ... + 3171954.

It is an arithmetic number, because the mean of its divisors is an integer number (8470440).

Almost surely, 2^726351360 is an apocalyptic number.

726351360 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355270400).

726351360 is an abundant number, since it is smaller than the sum of its proper divisors (1984189440).

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

726351360 is a wasteful number, since it uses less digits than its factorization.

726351360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 726351360 is about 26950.9064782615. The cubic root of 726351360 is about 898.9087019691.

The spelling of 726351360 in words is "seven hundred twenty-six million, three hundred fifty-one thousand, three hundred sixty".