726087456 has 96 divisors (see below), whose sum is σ = 2186150400. Its totient is φ = 234213120.

The previous prime is 726087433. The next prime is 726087463. The reversal of 726087456 is 654780627.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13230 + ... + 40338.

It is an arithmetic number, because the mean of its divisors is an integer number (22772400).

Almost surely, 2^726087456 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 726087456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093075200).

726087456 is an abundant number, since it is smaller than the sum of its proper divisors (1460062944).

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

726087456 is a wasteful number, since it uses less digits than its factorization.

726087456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27159 (or 27145 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 726087456 is about 26946.0100200382. The cubic root of 726087456 is about 898.7998224602.

The spelling of 726087456 in words is "seven hundred twenty-six million, eighty-seven thousand, four hundred fifty-six".