72000767 has 2 divisors, whose sum is σ = 72000768. Its totient is φ = 72000766.

The previous prime is 72000751. The next prime is 72000793. The reversal of 72000767 is 76700027.

It is a weak prime.

It is an emirp because it is prime and its reverse (76700027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72000767 - 2⁴ = 72000751 is a prime.

It is a super-2 number, since 2×72000767² = 10368220897176578, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72000727) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36000383 + 36000384.

It is an arithmetic number, because the mean of its divisors is an integer number (36000384).

Almost surely, 2^72000767 is an apocalyptic number.

72000767 is a deficient number, since it is larger than the sum of its proper divisors (1).

72000767 is an equidigital number, since it uses as much as digits as its factorization.

72000767 is an odious number, because the sum of its binary digits is odd.

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

The square root of 72000767 is about 8485.3265700266. The cubic root of 72000767 is about 416.0182418499.

The spelling of 72000767 in words is "seventy-two million, seven hundred sixty-seven", and thus it is an aban number.