75967721881073 has 16 divisors (see below), whose sum is σ = 85547620096512. Its totient is φ = 66833467632000.

The previous prime is 75967721881069. The next prime is 75967721881097. The reversal of 75967721881073 is 37018812776957.

It is a cyclic number.

It is not a de Polignac number, because 75967721881073 - 2² = 75967721881069 is a prime.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75967721880988 and 75967721881006.

It is not an unprimeable number, because it can be changed into a prime (75967721881003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108359003 + ... + 109057823.

It is an arithmetic number, because the mean of its divisors is an integer number (5346726256032).

Almost surely, 2^{75967721881073} is an apocalyptic number.

It is an amenable number.

75967721881073 is a deficient number, since it is larger than the sum of its proper divisors (9579898215439).

75967721881073 is a wasteful number, since it uses less digits than its factorization.

75967721881073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017656.

The product of its (nonzero) digits is 248935680, while the sum is 71.

The spelling of 75967721881073 in words is "seventy-five trillion, nine hundred sixty-seven billion, seven hundred twenty-one million, eight hundred eighty-one thousand, seventy-three".