727165264 has 160 divisors (see below), whose sum is σ = 1785282560. Its totient is φ = 279936000.

The previous prime is 727165237. The next prime is 727165267. The reversal of 727165264 is 462561727.

727165264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727165267) 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, 4815589 + ... + 4815739.

It is an arithmetic number, because the mean of its divisors is an integer number (11158016).

Almost surely, 2^727165264 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 727165264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892641280).

727165264 is an abundant number, since it is smaller than the sum of its proper divisors (1058117296).

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

727165264 is a wasteful number, since it uses less digits than its factorization.

727165264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its digits is 141120, while the sum is 40.

The square root of 727165264 is about 26966.0020025216. The cubic root of 727165264 is about 899.2443303014.

The spelling of 727165264 in words is "seven hundred twenty-seven million, one hundred sixty-five thousand, two hundred sixty-four".