727888 has 40 divisors (see below), whose sum is σ = 1652672. Its totient is φ = 304128.

The previous prime is 727879. The next prime is 727891. The reversal of 727888 is 888727.

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

It is a self number, because there is not a number n which added to its sum of digits gives 727888.

It is a congruent number.

It is an unprimeable number.

727888 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, 7456 + ... + 7552.

2⁷²⁷⁸⁸⁸ 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 727888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826336).

727888 is an abundant number, since it is smaller than the sum of its proper divisors (924784).

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

727888 is a wasteful number, since it uses less digits than its factorization.

727888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its digits is 50176, while the sum is 40.

The square root of 727888 is about 853.1635247712. The cubic root of 727888 is about 89.9542153956.

The spelling of 727888 in words is "seven hundred twenty-seven thousand, eight hundred eighty-eight".