72627409 has 2 divisors, whose sum is σ = 72627410. Its totient is φ = 72627408.

The previous prime is 72627403. The next prime is 72627413. The reversal of 72627409 is 90472627.

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., 38440000 + 34187409 = 6200^2 + 5847^2 .

It is a cyclic number.

It is not a de Polignac number, because 72627409 - 2⁵ = 72627377 is a prime.

It is not a weakly prime, because it can be changed into another prime (72627403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36313704 + 36313705.

It is an arithmetic number, because the mean of its divisors is an integer number (36313705).

Almost surely, 2^72627409 is an apocalyptic number.

It is an amenable number.

72627409 is a deficient number, since it is larger than the sum of its proper divisors (1).

72627409 is an equidigital number, since it uses as much as digits as its factorization.

72627409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 72627409 is about 8522.1716129165. The cubic root of 72627409 is about 417.2216634780.

The spelling of 72627409 in words is "seventy-two million, six hundred twenty-seven thousand, four hundred nine".