727413 has 12 divisors (see below), whose sum is σ = 1031520. Its totient is φ = 455872.

The previous prime is 727409. The next prime is 727427. The reversal of 727413 is 314727.

It is not a de Polignac number, because 727413 - 2² = 727409 is a prime.

727413 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 448 + ... + 1286.

It is an arithmetic number, because the mean of its divisors is an integer number (85960).

2⁷²⁷⁴¹³ is an apocalyptic number.

It is an amenable number.

727413 is a deficient number, since it is larger than the sum of its proper divisors (304107).

727413 is a wasteful number, since it uses less digits than its factorization.

727413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 859 counting only the distinct ones).

The product of its digits is 1176, while the sum is 24.

The square root of 727413 is about 852.8851036335. The cubic root of 727413 is about 89.9346439093.

Subtracting from 727413 its reverse (314727), we obtain a triangular number (412686 = T₉₀₈).

The spelling of 727413 in words is "seven hundred twenty-seven thousand, four hundred thirteen".