73127 has 2 divisors, whose sum is σ = 73128. Its totient is φ = 73126.

The previous prime is 73121. The next prime is 73133. The reversal of 73127 is 72137.

It is a balanced prime because it is at equal distance from previous prime (73121) and next prime (73133).

It is a cyclic number.

It is not a de Polignac number, because 73127 - 2⁶ = 73063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73099 and 73108.

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 73127.

It is not a weakly prime, because it can be changed into another prime (73121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36563 + 36564.

It is an arithmetic number, because the mean of its divisors is an integer number (36564).

2⁷³¹²⁷ is an apocalyptic number.

73127 is a deficient number, since it is larger than the sum of its proper divisors (1).

73127 is an equidigital number, since it uses as much as digits as its factorization.

73127 is an evil number, because the sum of its binary digits is even.

The product of its digits is 294, while the sum is 20.

The square root of 73127 is about 270.4200436358. The cubic root of 73127 is about 41.8176142731.

Subtracting from 73127 its reverse (72137), we obtain a triangular number (990 = T₄₄).

The spelling of 73127 in words is "seventy-three thousand, one hundred twenty-seven", and thus it is an iban number.