726151301120 has 384 divisors, whose sum is σ = 2071144857600. Its totient is φ = 239099904000.

The previous prime is 726151301047. The next prime is 726151301129. The reversal of 726151301120 is 21103151627.

It is not an unprimeable number, because it can be changed into a prime (726151301129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308867945 + ... + 308870295.

It is an arithmetic number, because the mean of its divisors is an integer number (5393606400).

Almost surely, 2^726151301120 is an apocalyptic number.

726151301120 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 726151301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035572428800).

726151301120 is an abundant number, since it is smaller than the sum of its proper divisors (1344993556480).

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

726151301120 is a wasteful number, since it uses less digits than its factorization.

726151301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

Adding to 726151301120 its reverse (21103151627), we get a palindrome (747254452747).

The spelling of 726151301120 in words is "seven hundred twenty-six billion, one hundred fifty-one million, three hundred one thousand, one hundred twenty".