726204960 has 384 divisors, whose sum is σ = 2792482560. Its totient is φ = 175177728.

The previous prime is 726204937. The next prime is 726204971. The reversal of 726204960 is 69402627.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 3762624 + ... + 3762816.

It is an arithmetic number, because the mean of its divisors is an integer number (7272090).

Almost surely, 2^726204960 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 726204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396241280).

726204960 is an abundant number, since it is smaller than the sum of its proper divisors (2066277600).

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

726204960 is a wasteful number, since it uses less digits than its factorization.

726204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 726204960 is about 26948.1902917432. The cubic root of 726204960 is about 898.8483046262.

The spelling of 726204960 in words is "seven hundred twenty-six million, two hundred four thousand, nine hundred sixty".