75732665472217 has 16 divisors (see below), whose sum is σ = 81927474853840. Its totient is φ = 69590699188992.

The previous prime is 75732665472179. The next prime is 75732665472337. The reversal of 75732665472217 is 71227456623757.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11435617592281 + 64297047879936 = 3381659^2 + 8018544^2 .

It is a cyclic number.

It is not a de Polignac number, because 75732665472217 - 2³¹ = 75730517988569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75732665472617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16660243 + ... + 20713015.

It is an arithmetic number, because the mean of its divisors is an integer number (5120467178365).

Almost surely, 2^{75732665472217} is an apocalyptic number.

It is an amenable number.

75732665472217 is a deficient number, since it is larger than the sum of its proper divisors (6194809381623).

75732665472217 is a wasteful number, since it uses less digits than its factorization.

75732665472217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4059292.

The product of its digits is 207446400, while the sum is 64.

The spelling of 75732665472217 in words is "seventy-five trillion, seven hundred thirty-two billion, six hundred sixty-five million, four hundred seventy-two thousand, two hundred seventeen".