726058240 has 72 divisors (see below), whose sum is σ = 1747436040. Its totient is φ = 289038336.

The previous prime is 726058213. The next prime is 726058243. The reversal of 726058240 is 42850627.

It can be written as a sum of positive squares in 4 ways, for example, as 219988224 + 506070016 = 14832^2 + 22496^2 .

It is a junction number, because it is equal to n+sod(n) for n = 726058196 and 726058205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726058243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 291882 + ... + 294358.

It is an arithmetic number, because the mean of its divisors is an integer number (24269945).

Almost surely, 2^726058240 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 726058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873718020).

726058240 is an abundant number, since it is smaller than the sum of its proper divisors (1021377800).

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

726058240 is a wasteful number, since it uses less digits than its factorization.

726058240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2727 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 726058240 is about 26945.4678935067. The cubic root of 726058240 is about 898.7877671228.

The spelling of 726058240 in words is "seven hundred twenty-six million, fifty-eight thousand, two hundred forty".