726317280 has 336 divisors, whose sum is σ = 2776394880. Its totient is φ = 178412544.

The previous prime is 726317261. The next prime is 726317281. The reversal of 726317280 is 82713627.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726317281) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1516081 + ... + 1516559.

It is an arithmetic number, because the mean of its divisors is an integer number (8263080).

Almost surely, 2^726317280 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 726317280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388197440).

726317280 is an abundant number, since it is smaller than the sum of its proper divisors (2050077600).

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

726317280 is a wasteful number, since it uses less digits than its factorization.

726317280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 726317280 is about 26950.2742101078. The cubic root of 726317280 is about 898.8946429845.

The spelling of 726317280 in words is "seven hundred twenty-six million, three hundred seventeen thousand, two hundred eighty".