75747699729 has 27 divisors (see below), whose sum is σ = 118493962353. Its totient is φ = 46607363712.

The previous prime is 75747699701. The next prime is 75747699743. The reversal of 75747699729 is 92799674757.

The square root of 75747699729 is 275223.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9955449729 + 65792250000 = 99777^2 + 256500^2 .

It is not a de Polignac number, because 75747699729 - 2¹⁵ = 75747666961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (75747699749) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10730169 + ... + 10737225.

Almost surely, 2^75747699729 is an apocalyptic number.

75747699729 is the 275223-rd square number.

75747699729 is the 137612-nd centered octagonal number.

It is an amenable number.

75747699729 is a deficient number, since it is larger than the sum of its proper divisors (42746262624).

75747699729 is an frugal number, since it uses more digits than its factorization.

75747699729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14146 (or 7073 counting only the distinct ones).

The product of its digits is 420078960, while the sum is 72.

The spelling of 75747699729 in words is "seventy-five billion, seven hundred forty-seven million, six hundred ninety-nine thousand, seven hundred twenty-nine".