72671567 has 2 divisors, whose sum is σ = 72671568. Its totient is φ = 72671566.

The previous prime is 72671551. The next prime is 72671581. The reversal of 72671567 is 76517627.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72671567 - 2⁴ = 72671551 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72671537) 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, 36335783 + 36335784.

It is an arithmetic number, because the mean of its divisors is an integer number (36335784).

Almost surely, 2^72671567 is an apocalyptic number.

72671567 is a deficient number, since it is larger than the sum of its proper divisors (1).

72671567 is an equidigital number, since it uses as much as digits as its factorization.

72671567 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 123480, while the sum is 41.

The square root of 72671567 is about 8524.7619908124. The cubic root of 72671567 is about 417.3062042954.

The spelling of 72671567 in words is "seventy-two million, six hundred seventy-one thousand, five hundred sixty-seven".