72085086 has 32 divisors (see below), whose sum is σ = 160692480. Its totient is φ = 23952888.

The previous prime is 72085081. The next prime is 72085087. The reversal of 72085086 is 68058027.

It is a self number, because there is not a number n which added to its sum of digits gives 72085086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72085081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16815 + ... + 20661.

It is an arithmetic number, because the mean of its divisors is an integer number (5021640).

Almost surely, 2^72085086 is an apocalyptic number.

72085086 is an abundant number, since it is smaller than the sum of its proper divisors (88607394).

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

72085086 is a wasteful number, since it uses less digits than its factorization.

72085086 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 72085086 is about 8490.2936344982. The cubic root of 72085086 is about 416.1805760365.

The spelling of 72085086 in words is "seventy-two million, eighty-five thousand, eighty-six".