72706967 has 2 divisors, whose sum is σ = 72706968. Its totient is φ = 72706966.

The previous prime is 72706927. The next prime is 72706969. The reversal of 72706967 is 76960727.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72706967 - 2¹⁶ = 72641431 is a prime.

Together with 72706969, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72706969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36353483 + 36353484.

It is an arithmetic number, because the mean of its divisors is an integer number (36353484).

Almost surely, 2^72706967 is an apocalyptic number.

72706967 is a deficient number, since it is larger than the sum of its proper divisors (1).

72706967 is an equidigital number, since it uses as much as digits as its factorization.

72706967 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 222264, while the sum is 44.

The square root of 72706967 is about 8526.8380423226. The cubic root of 72706967 is about 417.3739531285.

The spelling of 72706967 in words is "seventy-two million, seven hundred six thousand, nine hundred sixty-seven".