726558336 has 384 divisors, whose sum is σ = 2566287360. Its totient is φ = 200309760.

The previous prime is 726558331. The next prime is 726558379. The reversal of 726558336 is 633855627.

726558336 is a `hidden beast` number, since 7 + 2 + 65 + 583 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×726558336² = 1055774031222177792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 726558291 and 726558300.

It is not an unprimeable number, because it can be changed into a prime (726558331) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10233181 + ... + 10233251.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2^726558336 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 726558336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283143680).

726558336 is an abundant number, since it is smaller than the sum of its proper divisors (1839729024).

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

726558336 is an equidigital number, since it uses as much as digits as its factorization.

726558336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 726558336 is about 26954.7460755986. The cubic root of 726558336 is about 898.9940761046.

The spelling of 726558336 in words is "seven hundred twenty-six million, five hundred fifty-eight thousand, three hundred thirty-six".