72084209 has 2 divisors, whose sum is σ = 72084210. Its totient is φ = 72084208.

The previous prime is 72084197. The next prime is 72084217. The reversal of 72084209 is 90248027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40195600 + 31888609 = 6340^2 + 5647^2 .

It is an emirp because it is prime and its reverse (90248027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72084209 - 2⁴ = 72084193 is a prime.

It is a super-2 number, since 2×72084209² = 10392266374311362, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (72084409) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36042104 + 36042105.

It is an arithmetic number, because the mean of its divisors is an integer number (36042105).

Almost surely, 2^72084209 is an apocalyptic number.

It is an amenable number.

72084209 is a deficient number, since it is larger than the sum of its proper divisors (1).

72084209 is an equidigital number, since it uses as much as digits as its factorization.

72084209 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 72084209 is about 8490.2419871285. The cubic root of 72084209 is about 416.1788882539.

The spelling of 72084209 in words is "seventy-two million, eighty-four thousand, two hundred nine".