727104 has 56 divisors (see below), whose sum is σ = 2202688. Its totient is φ = 207360.

The previous prime is 727079. The next prime is 727121. The reversal of 727104 is 401727.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074 + ... + 1614.

2⁷²⁷¹⁰⁴ 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 727104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101344).

727104 is an abundant number, since it is smaller than the sum of its proper divisors (1475584).

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

727104 is a wasteful number, since it uses less digits than its factorization.

727104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 727104 is about 852.7039345517. The cubic root of 727104 is about 89.9219075679.

The spelling of 727104 in words is "seven hundred twenty-seven thousand, one hundred four", and thus it is an iban number.