729361407 has 16 divisors (see below), whose sum is σ = 980611200. Its totient is φ = 482187552.

The previous prime is 729361403. The next prime is 729361411. The reversal of 729361407 is 704163927.

It is an interprime number because it is at equal distance from previous prime (729361403) and next prime (729361411).

It is not a de Polignac number, because 729361407 - 2² = 729361403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729361403) 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, 422448 + ... + 424170.

It is an arithmetic number, because the mean of its divisors is an integer number (61288200).

Almost surely, 2^729361407 is an apocalyptic number.

729361407 is a deficient number, since it is larger than the sum of its proper divisors (251249793).

729361407 is a wasteful number, since it uses less digits than its factorization.

729361407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2822.

The product of its (nonzero) digits is 63504, while the sum is 39.

The square root of 729361407 is about 27006.6918929365. The cubic root of 729361407 is about 900.1487025897.

The spelling of 729361407 in words is "seven hundred twenty-nine million, three hundred sixty-one thousand, four hundred seven".