727748 has 36 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 301392.

The previous prime is 727747. The next prime is 727759. The reversal of 727748 is 847727.

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 727748.

It is not an unprimeable number, because it can be changed into a prime (727747) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9173 + ... + 9251.

It is an arithmetic number, because the mean of its divisors is an integer number (42560).

2⁷²⁷⁷⁴⁸ 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 727748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

727748 is an abundant number, since it is smaller than the sum of its proper divisors (804412).

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

727748 is a wasteful number, since it uses less digits than its factorization.

727748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 135 counting only the distinct ones).

The product of its digits is 21952, while the sum is 35.

The square root of 727748 is about 853.0814732486. The cubic root of 727748 is about 89.9484478427.

Adding to 727748 its product of digits (21952), we get a triangular number (749700 = T₁₂₂₄).

The spelling of 727748 in words is "seven hundred twenty-seven thousand, seven hundred forty-eight".