727128 has 24 divisors (see below), whose sum is σ = 1969500. Its totient is φ = 242352.

The previous prime is 727123. The next prime is 727157. The reversal of 727128 is 821727.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-3 number, since 3×727128³ = 1153330721614803456, which contains 333 as substring.

727128 is a modest number, since divided by 7128 gives 72 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727121) by changing a digit.

727128 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 5 ways as a sum of consecutive naturals, for example, 4978 + ... + 5121.

2⁷²⁷¹²⁸ is an apocalyptic number.

It is an amenable number.

727128 is an abundant number, since it is smaller than the sum of its proper divisors (1242372).

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

727128 is a wasteful number, since it uses less digits than its factorization.

727128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111 (or 10104 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 727128 is about 852.7180073154. The cubic root of 727128 is about 89.9228969276.

The spelling of 727128 in words is "seven hundred twenty-seven thousand, one hundred twenty-eight".