727872 has 56 divisors (see below), whose sum is σ = 2048256. Its totient is φ = 227328.

The previous prime is 727847. The next prime is 727877. The reversal of 727872 is 278727.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 727872.

It is not an unprimeable number, because it can be changed into a prime (727877) 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, 3153 + ... + 3375.

It is an arithmetic number, because the mean of its divisors is an integer number (36576).

2⁷²⁷⁸⁷² 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 727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024128).

727872 is an abundant number, since it is smaller than the sum of its proper divisors (1320384).

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

727872 is a wasteful number, since it uses less digits than its factorization.

727872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its digits is 10976, while the sum is 33.

The square root of 727872 is about 853.1541478537. The cubic root of 727872 is about 89.9535562842.

The spelling of 727872 in words is "seven hundred twenty-seven thousand, eight hundred seventy-two".