72101684864 has 32 divisors (see below), whose sum is σ = 156698267040. Its totient is φ = 32773492480.

The previous prime is 72101684857. The next prime is 72101684869. The reversal of 72101684864 is 46848610127.

It is a tau number, because it is divible by the number of its divisors (32).

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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25602884 + ... + 25605699.

It is an arithmetic number, because the mean of its divisors is an integer number (4896820845).

Almost surely, 2^72101684864 is an apocalyptic number.

It is an amenable number.

72101684864 is an abundant number, since it is smaller than the sum of its proper divisors (84596582176).

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

72101684864 is a wasteful number, since it uses less digits than its factorization.

72101684864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51208608 (or 51208596 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 47.

The spelling of 72101684864 in words is "seventy-two billion, one hundred one million, six hundred eighty-four thousand, eight hundred sixty-four".