726234768 has 320 divisors, whose sum is σ = 2519203840. Its totient is φ = 195955200.

The previous prime is 726234767. The next prime is 726234793. The reversal of 726234768 is 867432627.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (726234767) 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, 5718321 + ... + 5718447.

It is an arithmetic number, because the mean of its divisors is an integer number (7872512).

Almost surely, 2^726234768 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 726234768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259601920).

726234768 is an abundant number, since it is smaller than the sum of its proper divisors (1792969072).

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

726234768 is a wasteful number, since it uses less digits than its factorization.

726234768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 231 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 726234768 is about 26948.7433473251. The cubic root of 726234768 is about 898.8606025793.

The spelling of 726234768 in words is "seven hundred twenty-six million, two hundred thirty-four thousand, seven hundred sixty-eight".