72084409 has 2 divisors, whose sum is σ = 72084410. Its totient is φ = 72084408.

The previous prime is 72084379. The next prime is 72084413. The reversal of 72084409 is 90448027.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62647225 + 9437184 = 7915^2 + 3072^2 .

It is an emirp because it is prime and its reverse (90448027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72084409 - 2⁷ = 72084281 is a prime.

It is not a weakly prime, because it can be changed into another prime (72084449) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36042204 + 36042205.

It is an arithmetic number, because the mean of its divisors is an integer number (36042205).

Almost surely, 2^72084409 is an apocalyptic number.

It is an amenable number.

72084409 is a deficient number, since it is larger than the sum of its proper divisors (1).

72084409 is an equidigital number, since it uses as much as digits as its factorization.

72084409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 72084409 is about 8490.2537653477. The cubic root of 72084409 is about 416.1792731542.

The spelling of 72084409 in words is "seventy-two million, eighty-four thousand, four hundred nine".