726361344 has 180 divisors, whose sum is σ = 2261530656. Its totient is φ = 231441408.

The previous prime is 726361301. The next prime is 726361379. The reversal of 726361344 is 443163627.

It is a happy number.

726361344 is a `hidden beast` number, since 7 + 2 + 636 + 13 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 726361299 and 726361308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 476167 + ... + 477689.

Almost surely, 2^726361344 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 726361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130765328).

726361344 is an abundant number, since it is smaller than the sum of its proper divisors (1535169312).

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

726361344 is a wasteful number, since it uses less digits than its factorization.

726361344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1551 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 726361344 is about 26951.0917033058. The cubic root of 726361344 is about 898.9128205742.

The spelling of 726361344 in words is "seven hundred twenty-six million, three hundred sixty-one thousand, three hundred forty-four".