726418368 has 168 divisors, whose sum is σ = 2326008048. Its totient is φ = 223451136.

The previous prime is 726418333. The next prime is 726418369. The reversal of 726418368 is 863814627.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (726418369) 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, 200380 + ... + 203972.

It is an arithmetic number, because the mean of its divisors is an integer number (13845286).

Almost surely, 2^726418368 is an apocalyptic number.

726418368 is a gapful number since it is divisible by the number (78) 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 726418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163004024).

726418368 is an abundant number, since it is smaller than the sum of its proper divisors (1599589680).

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

726418368 is a wasteful number, since it uses less digits than its factorization.

726418368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3611 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 726418368 is about 26952.1495988724. The cubic root of 726418368 is about 898.9363434226.

The spelling of 726418368 in words is "seven hundred twenty-six million, four hundred eighteen thousand, three hundred sixty-eight".