726147072 has 336 divisors, whose sum is σ = 2540020320. Its totient is φ = 204374016.

The previous prime is 726147067. The next prime is 726147091. The reversal of 726147072 is 270741627.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10837983 + ... + 10838049.

Almost surely, 2^726147072 is an apocalyptic number.

726147072 is a gapful number since it is divisible by the number (72) 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 726147072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270010160).

726147072 is an abundant number, since it is smaller than the sum of its proper divisors (1813873248).

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

726147072 is an equidigital number, since it uses as much as digits as its factorization.

726147072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 726147072 is about 26947.1162093460. The cubic root of 726147072 is about 898.8244206833.

Adding to 726147072 its reverse (270741627), we get a palindrome (996888699).

The spelling of 726147072 in words is "seven hundred twenty-six million, one hundred forty-seven thousand, seventy-two".