729249 has 16 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 449280.

The previous prime is 729217. The next prime is 729257. The reversal of 729249 is 942927.

729249 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 729249 - 2⁵ = 729217 is a prime.

It is an Ulam number.

It is a d-powerful number, because it can be written as 7³ + 2⁷ + 2¹⁷ + 9³ + 4⁸ + 9⁶ .

729249 is strictly pandigital in base 7.

729249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (729269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3939 + ... + 4119.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2⁷²⁹²⁴⁹ is an apocalyptic number.

729249 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

It is an amenable number.

729249 is a deficient number, since it is larger than the sum of its proper divisors (319071).

729249 is a wasteful number, since it uses less digits than its factorization.

729249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280.

The product of its digits is 9072, while the sum is 33.

The square root of 729249 is about 853.9607719328. The cubic root of 729249 is about 90.0102457471.

The spelling of 729249 in words is "seven hundred twenty-nine thousand, two hundred forty-nine".