726627456 has 128 divisors (see below), whose sum is σ = 2185574400. Its totient is φ = 237579264.

The previous prime is 726627449. The next prime is 726627457. The reversal of 726627456 is 654726627.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (726627457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181185 + ... + 185151.

It is an arithmetic number, because the mean of its divisors is an integer number (17074800).

Almost surely, 2^726627456 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 726627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092787200).

726627456 is an abundant number, since it is smaller than the sum of its proper divisors (1458946944).

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

726627456 is a wasteful number, since it uses less digits than its factorization.

726627456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4043 (or 4025 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 726627456 is about 26956.0281940793. The cubic root of 726627456 is about 899.0225833361.

The spelling of 726627456 in words is "seven hundred twenty-six million, six hundred twenty-seven thousand, four hundred fifty-six".