1729727991 has 12 divisors (see below), whose sum is σ = 2499029832. Its totient is φ = 1152905616.

The previous prime is 1729727977. The next prime is 1729727999. The reversal of 1729727991 is 1997279271.

It is not a de Polignac number, because 1729727991 - 2¹⁰ = 1729726967 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1729727999) 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, 30645 + ... + 66321.

It is an arithmetic number, because the mean of its divisors is an integer number (208252486).

Almost surely, 2^1729727991 is an apocalyptic number.

1729727991 is a deficient number, since it is larger than the sum of its proper divisors (769301841).

1729727991 is a wasteful number, since it uses less digits than its factorization.

1729727991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41070 (or 41067 counting only the distinct ones).

The product of its digits is 1000188, while the sum is 54.

The square root of 1729727991 is about 41589.9986895888. The cubic root of 1729727991 is about 1200.3998646587.

The spelling of 1729727991 in words is "one billion, seven hundred twenty-nine million, seven hundred twenty-seven thousand, nine hundred ninety-one".