72935268864 has 80 divisors (see below), whose sum is σ = 194364107520. Its totient is φ = 24304250880.

The previous prime is 72935268811. The next prime is 72935268883. The reversal of 72935268864 is 46886253927.

It is a junction number, because it is equal to n+sod(n) for n = 72935268798 and 72935268807.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7415502 + ... + 7425330.

It is an arithmetic number, because the mean of its divisors is an integer number (2429551344).

Almost surely, 2^72935268864 is an apocalyptic number.

It is an amenable number.

72935268864 is an abundant number, since it is smaller than the sum of its proper divisors (121428838656).

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

72935268864 is an equidigital number, since it uses as much as digits as its factorization.

72935268864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14681 (or 14665 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 60.

It can be divided in two parts, 729352 and 68864, that added together give a triangular number (798216 = T₁₂₆₃).

The spelling of 72935268864 in words is "seventy-two billion, nine hundred thirty-five million, two hundred sixty-eight thousand, eight hundred sixty-four".