726419520 has 336 divisors, whose sum is σ = 2723833008. Its totient is φ = 176947200.

The previous prime is 726419501. The next prime is 726419527. The reversal of 726419520 is 25914627.

726419520 is a `hidden beast` number, since 7 + 2 + 641 + 9 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 263997504 + 462422016 = 16248^2 + 21504^2 .

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

It is not an unprimeable number, because it can be changed into a prime (726419527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811320 + ... + 1811720.

Almost surely, 2^726419520 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 726419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361916504).

726419520 is an abundant number, since it is smaller than the sum of its proper divisors (1997413488).

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

726419520 is a wasteful number, since it uses less digits than its factorization.

726419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 726419520 is about 26952.1709700722. The cubic root of 726419520 is about 898.9368186190.

The spelling of 726419520 in words is "seven hundred twenty-six million, four hundred nineteen thousand, five hundred twenty".