72101 has 2 divisors, whose sum is σ = 72102. Its totient is φ = 72100.
The previous prime is 72091. The next prime is 72103. The reversal of 72101 is 10127.
72101 is nontrivially palindromic in base 14.
It is a strong prime.
It can be written as a sum of positive squares in only one way, i.e., 51076 + 21025 = 226^2 + 145^2 .
It is a cyclic number.
It is not a de Polignac number, because 72101 - 214 = 55717 is a prime.
It is a Sophie Germain prime.
Together with 72103, it forms a pair of twin primes.
It is a Chen prime.
It is an alternating number because its digits alternate between odd and even.
It is a Curzon number.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (72103) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36050 + 36051.
It is an arithmetic number, because the mean of its divisors is an integer number (36051).
272101 is an apocalyptic number.
It is an amenable number.
72101 is a deficient number, since it is larger than the sum of its proper divisors (1).
72101 is an equidigital number, since it uses as much as digits as its factorization.
72101 is an evil number, because the sum of its binary digits is even.
The product of its (nonzero) digits is 14, while the sum is 11.
The square root of 72101 is about 268.5162937328. The cubic root of 72101 is about 41.6211200080.
Adding to 72101 its reverse (10127), we get a palindrome (82228).
The spelling of 72101 in words is "seventy-two thousand, one hundred one", and thus it is an iban number.
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