726505984 has 40 divisors (see below), whose sum is σ = 1485396000. Its totient is φ = 354794496.

The previous prime is 726505981. The next prime is 726506003. The reversal of 726505984 is 489505627.

726505984 = 235³ + 236³ + ... + 277³.

It is not an unprimeable number, because it can be changed into a prime (726505981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5517 + ... + 38515.

It is an arithmetic number, because the mean of its divisors is an integer number (37134900).

Almost surely, 2^726505984 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 726505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742698000).

726505984 is an abundant number, since it is smaller than the sum of its proper divisors (758890016).

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

726505984 is an equidigital number, since it uses as much as digits as its factorization.

726505984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33060 (or 33044 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 726505984 is about 26953.7749489751. The cubic root of 726505984 is about 898.9724833129.

It can be divided in two parts, 72 and 6505984, that added together give a palindrome (6506056).

The spelling of 726505984 in words is "seven hundred twenty-six million, five hundred five thousand, nine hundred eighty-four".