729129457 has 12 divisors (see below), whose sum is σ = 867898416. Its totient is φ = 610432200.

The previous prime is 729129451. The next prime is 729129461. The reversal of 729129457 is 754921927.

It is a happy number.

It is not a de Polignac number, because 729129457 - 2²⁷ = 594911729 is a prime.

It is a super-2 number, since 2×729129457² = 1063259530130229698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (729129451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 170919 + ... + 175132.

It is an arithmetic number, because the mean of its divisors is an integer number (72324868).

Almost surely, 2^729129457 is an apocalyptic number.

It is an amenable number.

729129457 is a deficient number, since it is larger than the sum of its proper divisors (138768959).

729129457 is a wasteful number, since it uses less digits than its factorization.

729129457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346108 (or 346101 counting only the distinct ones).

The product of its digits is 317520, while the sum is 46.

The square root of 729129457 is about 27002.3972454299. The cubic root of 729129457 is about 900.0532713324.

It can be divided in two parts, 72912 and 9457, that added together give a square (82369 = 287²).

The spelling of 729129457 in words is "seven hundred twenty-nine million, one hundred twenty-nine thousand, four hundred fifty-seven".