75729588688 has 30 divisors (see below), whose sum is σ = 158020981062. Its totient is φ = 34950286080.

The previous prime is 75729588659. The next prime is 75729588691. The reversal of 75729588688 is 88688592757.

It can be written as a sum of positive squares in 3 ways, for example, as 2045571984 + 73684016704 = 45228^2 + 271448^2 .

It is a super-2 number, since 2×75729588688² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75729588688.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3959308 + ... + 3978388.

Almost surely, 2^75729588688 is an apocalyptic number.

It is an amenable number.

75729588688 is an abundant number, since it is smaller than the sum of its proper divisors (82291392374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75729588688 is an frugal number, since it uses more digits than its factorization.

75729588688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38183 (or 19096 counting only the distinct ones).

The product of its digits is 541900800, while the sum is 73.

The spelling of 75729588688 in words is "seventy-five billion, seven hundred twenty-nine million, five hundred eighty-eight thousand, six hundred eighty-eight".