76172136049 has 27 divisors (see below), whose sum is σ = 81782632971. Its totient is φ = 70941240720.

The previous prime is 76172136031. The next prime is 76172136071. The reversal of 76172136049 is 94063127167.

The square root of 76172136049 is 275993.

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

It can be written as a sum of positive squares in only one way, i.e., 39942820449 + 36229315600 = 199857^2 + 190340^2 .

It is not a de Polignac number, because 76172136049 - 2⁹ = 76172135537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76172136449) 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 26 ways as a sum of consecutive naturals, for example, 248117554 + ... + 248117860.

Almost surely, 2^76172136049 is an apocalyptic number.

76172136049 is the 275993-rd square number.

76172136049 is the 137997-th centered octagonal number.

It is an amenable number.

76172136049 is a deficient number, since it is larger than the sum of its proper divisors (5610496922).

76172136049 is an frugal number, since it uses more digits than its factorization.

76172136049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The spelling of 76172136049 in words is "seventy-six billion, one hundred seventy-two million, one hundred thirty-six thousand, forty-nine".