727797168 has 120 divisors (see below), whose sum is σ = 2402989056. Its totient is φ = 201225600.

The previous prime is 727797167. The next prime is 727797181. The reversal of 727797168 is 861797727.

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

It is not an unprimeable number, because it can be changed into a prime (727797163) 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, 19603 + ... + 42893.

Almost surely, 2^727797168 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 727797168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201494528).

727797168 is an abundant number, since it is smaller than the sum of its proper divisors (1675191888).

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

727797168 is a wasteful number, since it uses less digits than its factorization.

727797168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23343 (or 23334 counting only the distinct ones).

The product of its digits is 2074464, while the sum is 54.

The square root of 727797168 is about 26977.7161375829. The cubic root of 727797168 is about 899.5047349157.

The spelling of 727797168 in words is "seven hundred twenty-seven million, seven hundred ninety-seven thousand, one hundred sixty-eight".