72673 has 2 divisors, whose sum is σ = 72674. Its totient is φ = 72672.
The previous prime is 72671. The next prime is 72679. The reversal of 72673 is 37627.
It is a weak prime.
It can be written as a sum of positive squares in only one way, i.e., 61009 + 11664 = 247^2 + 108^2 .
It is a cyclic number.
It is not a de Polignac number, because 72673 - 21 = 72671 is a prime.
Together with 72671, it forms a pair of twin primes.
It is not a weakly prime, because it can be changed into another prime (72671) by changing a digit.
It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36336 + 36337.
It is an arithmetic number, because the mean of its divisors is an integer number (36337).
272673 is an apocalyptic number.
It is an amenable number.
72673 is a deficient number, since it is larger than the sum of its proper divisors (1).
72673 is an equidigital number, since it uses as much as digits as its factorization.
72673 is an odious number, because the sum of its binary digits is odd.
The product of its digits is 1764, while the sum is 25.
The square root of 72673 is about 269.5793018761. The cubic root of 72673 is about 41.7308947211.
The spelling of 72673 in words is "seventy-two thousand, six hundred seventy-three".
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