729712431 has 12 divisors (see below), whose sum is σ = 1204604752. Its totient is φ = 416978496.

The previous prime is 729712397. The next prime is 729712433. The reversal of 729712431 is 134217927.

It is not a de Polignac number, because 729712431 - 2⁶ = 729712367 is a prime.

It is a super-3 number, since 3×729712431³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729712433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5791306 + ... + 5791431.

Almost surely, 2^729712431 is an apocalyptic number.

729712431 is a deficient number, since it is larger than the sum of its proper divisors (474892321).

729712431 is a wasteful number, since it uses less digits than its factorization.

729712431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11582750 (or 11582747 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 729712431 is about 27013.1899449139. The cubic root of 729712431 is about 900.2930860273.

The spelling of 729712431 in words is "seven hundred twenty-nine million, seven hundred twelve thousand, four hundred thirty-one".