67872509 has 2 divisors, whose sum is σ = 67872510. Its totient is φ = 67872508.

The previous prime is 67872491. The next prime is 67872523. The reversal of 67872509 is 90527876.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42902500 + 24970009 = 6550^2 + 4997^2 .

It is a cyclic number.

It is not a de Polignac number, because 67872509 - 2¹² = 67868413 is a prime.

It is a Chen prime.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 67872509.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67878509) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33936254 + 33936255.

It is an arithmetic number, because the mean of its divisors is an integer number (33936255).

Almost surely, 2^67872509 is an apocalyptic number.

It is an amenable number.

67872509 is a deficient number, since it is larger than the sum of its proper divisors (1).

67872509 is an equidigital number, since it uses as much as digits as its factorization.

67872509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 211680, while the sum is 44.

The square root of 67872509 is about 8238.4773471801. The cubic root of 67872509 is about 407.9102651718.

The spelling of 67872509 in words is "sixty-seven million, eight hundred seventy-two thousand, five hundred nine".