726144440 has 128 divisors (see below), whose sum is σ = 1958584320. Its totient is φ = 237081600.

The previous prime is 726144421. The next prime is 726144487. The reversal of 726144440 is 44441627.

It is a junction number, because it is equal to n+sod(n) for n = 726144397 and 726144406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492905 + ... + 494375.

It is an arithmetic number, because the mean of its divisors is an integer number (15301440).

Almost surely, 2^726144440 is an apocalyptic number.

726144440 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 726144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979292160).

726144440 is an abundant number, since it is smaller than the sum of its proper divisors (1232439880).

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

726144440 is a wasteful number, since it uses less digits than its factorization.

726144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 726144440 is about 26947.0673729072. The cubic root of 726144440 is about 898.8233347193.

The spelling of 726144440 in words is "seven hundred twenty-six million, one hundred forty-four thousand, four hundred forty".