727405 has 12 divisors (see below), whose sum is σ = 1015740. Its totient is φ = 498624.

The previous prime is 727399. The next prime is 727409. The reversal of 727405 is 504727.

It can be written as a sum of positive squares in 2 ways, for example, as 90601 + 636804 = 301^2 + 798^2 .

It is not a de Polignac number, because 727405 - 2⁹ = 726893 is a prime.

It is a d-powerful number, because it can be written as 7⁵ + 2¹⁹ + 4⁸ + 7⁶ + 0 + 5⁵ .

727405 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 727405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727409) 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, 1240 + ... + 1729.

It is an arithmetic number, because the mean of its divisors is an integer number (84645).

2⁷²⁷⁴⁰⁵ is an apocalyptic number.

It is an amenable number.

727405 is a deficient number, since it is larger than the sum of its proper divisors (288335).

727405 is a wasteful number, since it uses less digits than its factorization.

727405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 25.

The square root of 727405 is about 852.8804136572. The cubic root of 727405 is about 89.9343142113.

The spelling of 727405 in words is "seven hundred twenty-seven thousand, four hundred five".