71791729 has 9 divisors (see below), whose sum is σ = 74108097. Its totient is φ = 69546384.

The previous prime is 71791673. The next prime is 71791781. The reversal of 71791729 is 92719717.

The square root of 71791729 is 8473.

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 49210225 + 22581504 = 7015^2 + 4752^2 .

It is not a de Polignac number, because 71791729 - 2¹¹ = 71789681 is a prime.

It is a super-3 number, since 3×71791729³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71791789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 313387 + ... + 313615.

It is an arithmetic number, because the mean of its divisors is an integer number (8234233).

Almost surely, 2^71791729 is an apocalyptic number.

71791729 is the 8473-rd square number.

71791729 is the 4237-th centered octagonal number.

It is an amenable number.

71791729 is a deficient number, since it is larger than the sum of its proper divisors (2316368).

71791729 is an frugal number, since it uses more digits than its factorization.

71791729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 266 counting only the distinct ones).

The product of its digits is 55566, while the sum is 43.

The cubic root of 71791729 is about 415.6152465271.

The spelling of 71791729 in words is "seventy-one million, seven hundred ninety-one thousand, seven hundred twenty-nine".