67072961 has 2 divisors, whose sum is σ = 67072962. Its totient is φ = 67072960.

The previous prime is 67072927. The next prime is 67072979. The reversal of 67072961 is 16927076.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66324736 + 748225 = 8144^2 + 865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-67072961 is a prime.

It is a Chen prime.

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

It is not a weakly prime, because it can be changed into another prime (67072861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33536480 + 33536481.

It is an arithmetic number, because the mean of its divisors is an integer number (33536481).

Almost surely, 2^67072961 is an apocalyptic number.

It is an amenable number.

67072961 is a deficient number, since it is larger than the sum of its proper divisors (1).

67072961 is an equidigital number, since it uses as much as digits as its factorization.

67072961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 67072961 is about 8189.8083616163. The cubic root of 67072961 is about 406.3021867159.

The spelling of 67072961 in words is "sixty-seven million, seventy-two thousand, nine hundred sixty-one".