72101684863 has 12 divisors (see below), whose sum is σ = 77788764984. Its totient is φ = 66434936400.

The previous prime is 72101684857. The next prime is 72101684869. The reversal of 72101684863 is 36848610127.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72101684857) and next prime (72101684869).

It is not a de Polignac number, because 72101684863 - 2¹³ = 72101676671 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72101684869) 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 11 ways as a sum of consecutive naturals, for example, 4230028 + ... + 4247038.

It is an arithmetic number, because the mean of its divisors is an integer number (6482397082).

Almost surely, 2^72101684863 is an apocalyptic number.

72101684863 is a deficient number, since it is larger than the sum of its proper divisors (5687080121).

72101684863 is an equidigital number, since it uses as much as digits as its factorization.

72101684863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18166 (or 17595 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 72101684863 in words is "seventy-two billion, one hundred one million, six hundred eighty-four thousand, eight hundred sixty-three".