729153 has 6 divisors (see below), whose sum is σ = 1053234. Its totient is φ = 486096.

The previous prime is 729143. The next prime is 729173. The reversal of 729153 is 351927.

It can be written as a sum of positive squares in only one way, i.e., 725904 + 3249 = 852^2 + 57^2 .

It is not a de Polignac number, because 729153 - 2¹⁰ = 728129 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729143) 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, 40500 + ... + 40517.

It is an arithmetic number, because the mean of its divisors is an integer number (175539).

2⁷²⁹¹⁵³ is an apocalyptic number.

It is an amenable number.

729153 is a deficient number, since it is larger than the sum of its proper divisors (324081).

729153 is a wasteful number, since it uses less digits than its factorization.

729153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81023 (or 81020 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 729153 is about 853.9045614119. The cubic root of 729153 is about 90.0062958559.

The spelling of 729153 in words is "seven hundred twenty-nine thousand, one hundred fifty-three".