727936 has 48 divisors (see below), whose sum is σ = 1627920. Its totient is φ = 323840.

The previous prime is 727933. The next prime is 727939. The reversal of 727936 is 639727.

It is an interprime number because it is at equal distance from previous prime (727933) and next prime (727939).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727933) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15465 + ... + 15511.

It is an arithmetic number, because the mean of its divisors is an integer number (33915).

2⁷²⁷⁹³⁶ 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 727936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813960).

727936 is an abundant number, since it is smaller than the sum of its proper divisors (899984).

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

727936 is a wasteful number, since it uses less digits than its factorization.

727936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its digits is 15876, while the sum is 34.

The square root of 727936 is about 853.1916549053. The cubic root of 727936 is about 89.9561926721.

Subtracting from 727936 its reverse (639727), we obtain a square (88209 = 297²).

It can be divided in two parts, 72 and 7936, that added together give a palindrome (8008).

The spelling of 727936 in words is "seven hundred twenty-seven thousand, nine hundred thirty-six".