67972007 has 2 divisors, whose sum is σ = 67972008. Its totient is φ = 67972006.

The previous prime is 67971991. The next prime is 67972013. The reversal of 67972007 is 70027976.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 67972007 - 2⁴ = 67971991 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (67972097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33986003 + 33986004.

It is an arithmetic number, because the mean of its divisors is an integer number (33986004).

Almost surely, 2^67972007 is an apocalyptic number.

67972007 is a deficient number, since it is larger than the sum of its proper divisors (1).

67972007 is an equidigital number, since it uses as much as digits as its factorization.

67972007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37044, while the sum is 38.

The square root of 67972007 is about 8244.5137515805. The cubic root of 67972007 is about 408.1094937930.

The spelling of 67972007 in words is "sixty-seven million, nine hundred seventy-two thousand, seven".