72085114016 has 48 divisors (see below), whose sum is σ = 150173751168. Its totient is φ = 33989894400.

The previous prime is 72085114009. The next prime is 72085114051. The reversal of 72085114016 is 61041158027.

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, 637475 + ... + 741986.

It is an arithmetic number, because the mean of its divisors is an integer number (3128619816).

Almost surely, 2^72085114016 is an apocalyptic number.

It is an amenable number.

72085114016 is an abundant number, since it is smaller than the sum of its proper divisors (78088637152).

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

72085114016 is a wasteful number, since it uses less digits than its factorization.

72085114016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379565 (or 1379557 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The spelling of 72085114016 in words is "seventy-two billion, eighty-five million, one hundred fourteen thousand, sixteen".