72017778960 has 120 divisors (see below), whose sum is σ = 249661711104. Its totient is φ = 18585227520.

The previous prime is 72017778887. The next prime is 72017778971. The reversal of 72017778960 is 6987771027.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 72017778897 and 72017778906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1590982 + ... + 1635621.

Almost surely, 2^72017778960 is an apocalyptic number.

It is an amenable number.

72017778960 is an abundant number, since it is smaller than the sum of its proper divisors (177643932144).

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

72017778960 is a wasteful number, since it uses less digits than its factorization.

72017778960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226653 (or 3226644 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 54.

The spelling of 72017778960 in words is "seventy-two billion, seventeen million, seven hundred seventy-eight thousand, nine hundred sixty".