727164 has 24 divisors (see below), whose sum is σ = 1885520. Its totient is φ = 242352.

The previous prime is 727159. The next prime is 727169. The reversal of 727164 is 461727.

727164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (727159) and next prime (727169).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727169) by changing a digit.

727164 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3259 + ... + 3474.

2⁷²⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

727164 is an abundant number, since it is smaller than the sum of its proper divisors (1158356).

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

727164 is a wasteful number, since it uses less digits than its factorization.

727164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6738 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 727164 is about 852.7391160255. The cubic root of 727164 is about 89.9243809262.

The spelling of 727164 in words is "seven hundred twenty-seven thousand, one hundred sixty-four".