726401312 has 144 divisors (see below), whose sum is σ = 1860328512. Its totient is φ = 271848960.

The previous prime is 726401311. The next prime is 726401317. The reversal of 726401312 is 213104627.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726401311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1050887 + ... + 1051577.

It is an arithmetic number, because the mean of its divisors is an integer number (12918948).

Almost surely, 2^726401312 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 726401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930164256).

726401312 is an abundant number, since it is smaller than the sum of its proper divisors (1133927200).

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

726401312 is a wasteful number, since it uses less digits than its factorization.

726401312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 726401312 is about 26951.8331844051. The cubic root of 726401312 is about 898.9293078176.

Adding to 726401312 its reverse (213104627), we get a palindrome (939505939).

The spelling of 726401312 in words is "seven hundred twenty-six million, four hundred one thousand, three hundred twelve".