729742257 has 16 divisors (see below), whose sum is σ = 1104103680. Its totient is φ = 476143056.

The previous prime is 729742249. The next prime is 729742259. The reversal of 729742257 is 752247927.

It is not a de Polignac number, because 729742257 - 2³ = 729742249 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (729742259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286258 + ... + 288795.

It is an arithmetic number, because the mean of its divisors is an integer number (69006480).

Almost surely, 2^729742257 is an apocalyptic number.

It is an amenable number.

729742257 is a deficient number, since it is larger than the sum of its proper divisors (374361423).

729742257 is a wasteful number, since it uses less digits than its factorization.

729742257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575109 (or 575103 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 729742257 is about 27013.7420029140. The cubic root of 729742257 is about 900.3053519441.

The spelling of 729742257 in words is "seven hundred twenty-nine million, seven hundred forty-two thousand, two hundred fifty-seven".