72085984 has 24 divisors (see below), whose sum is σ = 150268608. Its totient is φ = 33922560.

The previous prime is 72085969. The next prime is 72085997. The reversal of 72085984 is 48958027.

It is a self number, because there is not a number n which added to its sum of digits gives 72085984.

It is a congruent number.

It is an unprimeable number.

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, 65712 + ... + 66799.

It is an arithmetic number, because the mean of its divisors is an integer number (6261192).

Almost surely, 2^72085984 is an apocalyptic number.

It is an amenable number.

72085984 is an abundant number, since it is smaller than the sum of its proper divisors (78182624).

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

72085984 is a wasteful number, since it uses less digits than its factorization.

72085984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132538 (or 132530 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The square root of 72085984 is about 8490.3465182524. The cubic root of 72085984 is about 416.1823042192.

The spelling of 72085984 in words is "seventy-two million, eighty-five thousand, nine hundred eighty-four".