73727 has 2 divisors, whose sum is σ = 73728. Its totient is φ = 73726.

The previous prime is 73721. The next prime is 73751. The reversal of 73727 is 72737.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 73727 - 2^{8} = 73471 is a prime.

It is a Chen prime.

It is an Ulam number.

It is a plaindrome in base 12 and base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 73696 and 73705.

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 73727.

It is not a weakly prime, because it can be changed into another prime (73721) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36863 + 36864.

It is an arithmetic number, because the mean of its divisors is an integer number (36864).

2^{73727} is an apocalyptic number.

73727 is a deficient number, since it is larger than the sum of its proper divisors (1).

73727 is an equidigital number, since it uses as much as digits as its factorization.

73727 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2058, while the sum is 26.

The square root of 73727 is about 271.5271625455. The cubic root of 73727 is about 41.9316727274.

Subtracting from 73727 its reverse (72737), we obtain a triangular number (990 = T_{44}).

The spelling of 73727 in words is "seventy-three thousand, seven hundred twenty-seven", and thus it is an iban number.

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