729441 has 6 divisors (see below), whose sum is σ = 1053650. Its totient is φ = 486288.

The previous prime is 729413. The next prime is 729451. The reversal of 729441 is 144927.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 484416 + 245025 = 696^2 + 495^2 .

It is not a de Polignac number, because 729441 - 2⁹ = 728929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 729441.

It is not an unprimeable number, because it can be changed into a prime (729451) 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, 40516 + ... + 40533.

2⁷²⁹⁴⁴¹ is an apocalyptic number.

It is an amenable number.

729441 is a deficient number, since it is larger than the sum of its proper divisors (324209).

729441 is a wasteful number, since it uses less digits than its factorization.

729441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81055 (or 81052 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 729441 is about 854.0731818761. The cubic root of 729441 is about 90.0181444899.

It can be divided in two parts, 729 and 441, that multiplied together give a square (321489 = 567²).

The spelling of 729441 in words is "seven hundred twenty-nine thousand, four hundred forty-one".