726731760 has 320 divisors, whose sum is σ = 2519838720. Its totient is φ = 172523520.

The previous prime is 726731749. The next prime is 726731767. The reversal of 726731760 is 67137627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726731767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7492032 + ... + 7492128.

It is an arithmetic number, because the mean of its divisors is an integer number (7874496).

Almost surely, 2^726731760 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 726731760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259919360).

726731760 is an abundant number, since it is smaller than the sum of its proper divisors (1793106960).

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

726731760 is a wasteful number, since it uses less digits than its factorization.

726731760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 726731760 is about 26957.9628310449. The cubic root of 726731760 is about 899.0655981182.

The spelling of 726731760 in words is "seven hundred twenty-six million, seven hundred thirty-one thousand, seven hundred sixty".