727664 has 40 divisors (see below), whose sum is σ = 1651680. Its totient is φ = 304128.

The previous prime is 727633. The next prime is 727667. The reversal of 727664 is 466727.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 727664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8132 + ... + 8220.

It is an arithmetic number, because the mean of its divisors is an integer number (41292).

2⁷²⁷⁶⁶⁴ 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 727664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825840).

727664 is an abundant number, since it is smaller than the sum of its proper divisors (924016).

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

727664 is a wasteful number, since it uses less digits than its factorization.

727664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 171 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 727664 is about 853.0322385467. The cubic root of 727664 is about 89.9449869559.

The spelling of 727664 in words is "seven hundred twenty-seven thousand, six hundred sixty-four".