72085969 has 2 divisors, whose sum is σ = 72085970. Its totient is φ = 72085968.

The previous prime is 72085927. The next prime is 72085997. The reversal of 72085969 is 96958027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 39538944 + 32547025 = 6288^2 + 5705^2 .

It is a cyclic number.

It is not a de Polignac number, because 72085969 - 2²¹ = 69988817 is a prime.

It is a super-2 number, since 2×72085969² = 10392773853337922, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72085919) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36042984 + 36042985.

It is an arithmetic number, because the mean of its divisors is an integer number (36042985).

Almost surely, 2^72085969 is an apocalyptic number.

It is an amenable number.

72085969 is a deficient number, since it is larger than the sum of its proper divisors (1).

72085969 is an equidigital number, since it uses as much as digits as its factorization.

72085969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 272160, while the sum is 46.

The square root of 72085969 is about 8490.3456348961. The cubic root of 72085969 is about 416.1822753521.

The spelling of 72085969 in words is "seventy-two million, eighty-five thousand, nine hundred sixty-nine".