72767 has 2 divisors, whose sum is σ = 72768. Its totient is φ = 72766.

The previous prime is 72763. The next prime is 72797. The reversal of 72767 is 76727.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72767 - 2² = 72763 is a prime.

It is a Chen prime.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72767.

It is not a weakly prime, because it can be changed into another prime (72763) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36383 + 36384.

It is an arithmetic number, because the mean of its divisors is an integer number (36384).

2⁷²⁷⁶⁷ is an apocalyptic number.

72767 is a deficient number, since it is larger than the sum of its proper divisors (1).

72767 is an equidigital number, since it uses as much as digits as its factorization.

72767 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4116, while the sum is 29.

The square root of 72767 is about 269.7535912643. The cubic root of 72767 is about 41.7488794565.

The spelling of 72767 in words is "seventy-two thousand, seven hundred sixty-seven".