726663168 has 252 divisors, whose sum is σ = 2617244448. Its totient is φ = 188743680.

The previous prime is 726663137. The next prime is 726663191. The reversal of 726663168 is 861366627.

It is a tau number, because it is divible by the number of its divisors (252).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (435456) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66060283 + ... + 66060293.

Almost surely, 2^726663168 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 726663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308622224).

726663168 is an abundant number, since it is smaller than the sum of its proper divisors (1890581280).

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

726663168 is an frugal number, since it uses more digits than its factorization.

726663168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 23 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 726663168 is about 26956.6905980686. The cubic root of 726663168 is about 899.0373113641.

The spelling of 726663168 in words is "seven hundred twenty-six million, six hundred sixty-three thousand, one hundred sixty-eight".