72701 has 2 divisors, whose sum is σ = 72702. Its totient is φ = 72700.

The previous prime is 72689. The next prime is 72707. The reversal of 72701 is 10727.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62500 + 10201 = 250^2 + 101^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^{k}-72701 is a prime.

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

It is equal to p_{7190} and since 72701 and 7190 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number *n* which added to its sum of digits gives 72701.

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 72701.

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, 36350 + 36351.

It is an arithmetic number, because the mean of its divisors is an integer number (36351).

2^{72701} is an apocalyptic number.

It is an amenable number.

72701 is a deficient number, since it is larger than the sum of its proper divisors (1).

72701 is an equidigital number, since it uses as much as digits as its factorization.

72701 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 72701 is about 269.6312296452. The cubic root of 72701 is about 41.7362534972.

The spelling of 72701 in words is "seventy-two thousand, seven hundred one", and thus it is an iban number.

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