726448128 has 288 divisors, whose sum is σ = 2390169600. Its totient is φ = 195084288.

The previous prime is 726448087. The next prime is 726448133. The reversal of 726448128 is 821844627.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a self number, because there is not a number n which added to its sum of digits gives 726448128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5720001 + ... + 5720127.

It is an arithmetic number, because the mean of its divisors is an integer number (8299200).

Almost surely, 2^726448128 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 726448128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195084800).

726448128 is an abundant number, since it is smaller than the sum of its proper divisors (1663721472).

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

726448128 is a wasteful number, since it uses less digits than its factorization.

726448128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 158 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 726448128 is about 26952.7016827627. The cubic root of 726448128 is about 898.9486191678.

The spelling of 726448128 in words is "seven hundred twenty-six million, four hundred forty-eight thousand, one hundred twenty-eight".