72085081 has 2 divisors, whose sum is σ = 72085082. Its totient is φ = 72085080.

The previous prime is 72085067. The next prime is 72085087. The reversal of 72085081 is 18058027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65351056 + 6734025 = 8084^2 + 2595^2 .

It is a cyclic number.

It is not a de Polignac number, because 72085081 - 2⁷ = 72084953 is a prime.

It is a super-2 number, since 2×72085081² = 10392517805553122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72085087) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36042540 + 36042541.

It is an arithmetic number, because the mean of its divisors is an integer number (36042541).

Almost surely, 2^72085081 is an apocalyptic number.

It is an amenable number.

72085081 is a deficient number, since it is larger than the sum of its proper divisors (1).

72085081 is an equidigital number, since it uses as much as digits as its factorization.

72085081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 72085081 is about 8490.2933400443. The cubic root of 72085081 is about 416.1805664140.

The spelling of 72085081 in words is "seventy-two million, eighty-five thousand, eighty-one".