729288873 has 16 divisors (see below), whose sum is σ = 1092571200. Its totient is φ = 480728160.

The previous prime is 729288871. The next prime is 729288877. The reversal of 729288873 is 378882927.

It is not a de Polignac number, because 729288873 - 2¹ = 729288871 is a prime.

It is a super-2 number, since 2×729288873² = 1063724520563220258, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729288871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149343 + ... + 154148.

It is an arithmetic number, because the mean of its divisors is an integer number (68285700).

Almost surely, 2^729288873 is an apocalyptic number.

It is an amenable number.

729288873 is a deficient number, since it is larger than the sum of its proper divisors (363282327).

729288873 is a wasteful number, since it uses less digits than its factorization.

729288873 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303589 (or 303583 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The square root of 729288873 is about 27005.3489701577. The cubic root of 729288873 is about 900.1188620791.

The spelling of 729288873 in words is "seven hundred twenty-nine million, two hundred eighty-eight thousand, eight hundred seventy-three".