726255360 has 216 divisors, whose sum is σ = 2622975264. Its totient is φ = 185180160.

The previous prime is 726255359. The next prime is 726255377. The reversal of 726255360 is 63552627.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263590 + ... + 266330.

It is an arithmetic number, because the mean of its divisors is an integer number (12143404).

Almost surely, 2^726255360 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 726255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311487632).

726255360 is an abundant number, since it is smaller than the sum of its proper divisors (1896719904).

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

726255360 is a wasteful number, since it uses less digits than its factorization.

726255360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2791 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 726255360 is about 26949.1254032482. The cubic root of 726255360 is about 898.8690980702.

It can be divided in two parts, 726255 and 360, that added together give a triangular number (726615 = T₁₂₀₅).

The spelling of 726255360 in words is "seven hundred twenty-six million, two hundred fifty-five thousand, three hundred sixty".