72671 has 2 divisors, whose sum is σ = 72672. Its totient is φ = 72670.
The previous prime is 72661. The next prime is 72673. The reversal of 72671 is 17627.
It is a happy number.
It is a strong prime.
It is an emirp because it is prime and its reverse (17627) is a distict prime.
It is a cyclic number.
It is not a de Polignac number, because 72671 - 210 = 71647 is a prime.
Together with 72673, it forms a pair of twin primes.
It is a Chen prime.
It is a plaindrome in base 16.
It is a congruent number.
It is not a weakly prime, because it can be changed into another prime (72673) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36335 + 36336.
It is an arithmetic number, because the mean of its divisors is an integer number (36336).
272671 is an apocalyptic number.
72671 is a deficient number, since it is larger than the sum of its proper divisors (1).
72671 is an equidigital number, since it uses as much as digits as its factorization.
72671 is an evil number, because the sum of its binary digits is even.
The product of its digits is 588, while the sum is 23.
The square root of 72671 is about 269.5755923670. The cubic root of 72671 is about 41.7305118987.
It can be divided in two parts, 726 and 71, that added together give a palindrome (797).
The spelling of 72671 in words is "seventy-two thousand, six hundred seventy-one".
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