726261120 has 512 divisors, whose sum is σ = 2868566400. Its totient is φ = 172523520.

The previous prime is 726261103. The next prime is 726261139. The reversal of 726261120 is 21162627.

726261120 is a `hidden beast` number, since 7 + 2 + 626 + 11 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11905890 + ... + 11905950.

Almost surely, 2^726261120 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 726261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434283200).

726261120 is an abundant number, since it is smaller than the sum of its proper divisors (2142305280).

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

726261120 is a wasteful number, since it uses less digits than its factorization.

726261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 726261120 is about 26949.2322710685. The cubic root of 726261120 is about 898.8714744025.

The spelling of 726261120 in words is "seven hundred twenty-six million, two hundred sixty-one thousand, one hundred twenty".