72167288080 has 40 divisors (see below), whose sum is σ = 176619945600. Its totient is φ = 27347603328.

The previous prime is 72167288077. The next prime is 72167288093. The reversal of 72167288080 is 8088276127.

It is a tau number, because it is divible by the number of its divisors (40).

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, 23737720 + ... + 23740759.

It is an arithmetic number, because the mean of its divisors is an integer number (4415498640).

Almost surely, 2^72167288080 is an apocalyptic number.

It is an amenable number.

72167288080 is an abundant number, since it is smaller than the sum of its proper divisors (104452657520).

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

72167288080 is a wasteful number, since it uses less digits than its factorization.

72167288080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47478511 (or 47478505 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 49.

The spelling of 72167288080 in words is "seventy-two billion, one hundred sixty-seven million, two hundred eighty-eight thousand, eighty".