75727884969 has 81 divisors (see below), whose sum is σ = 124699946007. Its totient is φ = 44250069600.

The previous prime is 75727884961. The next prime is 75727885027. The reversal of 75727884969 is 96948872757.

The square root of 75727884969 is 275187.

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

75727884969 is a `hidden beast` number, since 7 + 57 + 2 + 7 + 88 + 496 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4982524569 + 70745360400 = 70587^2 + 265980^2 .

It is not a de Polignac number, because 75727884969 - 2³ = 75727884961 is a prime.

It is a super-2 number, since 2×75727884969² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 75727884897 and 75727884906.

It is not an unprimeable number, because it can be changed into a prime (75727884961) 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 80 ways as a sum of consecutive naturals, for example, 281516167 + ... + 281516435.

Almost surely, 2^75727884969 is an apocalyptic number.

75727884969 is the 275187-th square number.

75727884969 is the 137594-th centered octagonal number.

It is an amenable number.

75727884969 is a deficient number, since it is larger than the sum of its proper divisors (48972061038).

75727884969 is a wasteful number, since it uses less digits than its factorization.

75727884969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 314 counting only the distinct ones).

The product of its digits is 426746880, while the sum is 72.

It can be divided in two parts, 7572788 and 4969, that added together give a palindrome (7577757).

The spelling of 75727884969 in words is "seventy-five billion, seven hundred twenty-seven million, eight hundred eighty-four thousand, nine hundred sixty-nine".