726501440 has 112 divisors (see below), whose sum is σ = 2017776000. Its totient is φ = 249048576.

The previous prime is 726501403. The next prime is 726501449. The reversal of 726501440 is 44105627.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (726501449) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 106451 + ... + 113069.

Almost surely, 2^726501440 is an apocalyptic number.

726501440 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 726501440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1008888000).

726501440 is an abundant number, since it is smaller than the sum of its proper divisors (1291274560).

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

726501440 is an equidigital number, since it uses as much as digits as its factorization.

726501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657 (or 6633 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 726501440 is about 26953.6906563832. The cubic root of 726501440 is about 898.9706090730.

The spelling of 726501440 in words is "seven hundred twenty-six million, five hundred one thousand, four hundred forty".