729073431 has 24 divisors (see below), whose sum is σ = 1071408000. Its totient is φ = 477637776.

The previous prime is 729073417. The next prime is 729073507. The reversal of 729073431 is 134370927.

729073431 is a `hidden beast` number, since 72 + 90 + 73 + 431 = 666.

It is not a de Polignac number, because 729073431 - 2⁵ = 729073399 is a prime.

It is a super-2 number, since 2×729073431² = 1063096135580223522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729073231) 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 23 ways as a sum of consecutive naturals, for example, 299686 + ... + 302108.

It is an arithmetic number, because the mean of its divisors is an integer number (44642000).

Almost surely, 2^729073431 is an apocalyptic number.

729073431 is a deficient number, since it is larger than the sum of its proper divisors (342334569).

729073431 is a wasteful number, since it uses less digits than its factorization.

729073431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 729073431 is about 27001.3597990916. The cubic root of 729073431 is about 900.0302175040.

The spelling of 729073431 in words is "seven hundred twenty-nine million, seventy-three thousand, four hundred thirty-one".