72727 has 2 divisors, whose sum is σ = 72728. Its totient is φ = 72726.

The previous prime is 72719. The next prime is 72733.

72727 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 72727 - 2^{3} = 72719 is a prime.

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

72727 is an undulating number in base 10.

72727 is a lucky number.

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 72727.

It is not a weakly prime, because it can be changed into another prime (72707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36363 + 36364.

It is an arithmetic number, because the mean of its divisors is an integer number (36364).

2^{72727} is an apocalyptic number.

72727 is a deficient number, since it is larger than the sum of its proper divisors (1).

72727 is an equidigital number, since it uses as much as digits as its factorization.

72727 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1372, while the sum is 25.

The square root of 72727 is about 269.6794393349. The cubic root of 72727 is about 41.7412282718.

The spelling of 72727 in words is "seventy-two thousand, seven hundred twenty-seven", and thus it is an iban number.

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