72643 has 2 divisors, whose sum is σ = 72644. Its totient is φ = 72642.

The previous prime is 72623. The next prime is 72647. The reversal of 72643 is 34627.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72643 - 2¹³ = 64451 is a prime.

It is a plaindrome in base 15.

It is not a weakly prime, because it can be changed into another prime (72647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36321 + 36322.

It is an arithmetic number, because the mean of its divisors is an integer number (36322).

2⁷²⁶⁴³ is an apocalyptic number.

72643 is a deficient number, since it is larger than the sum of its proper divisors (1).

72643 is an equidigital number, since it uses as much as digits as its factorization.

72643 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1008, while the sum is 22.

The square root of 72643 is about 269.5236538785. The cubic root of 72643 is about 41.7251516475.

The spelling of 72643 in words is "seventy-two thousand, six hundred forty-three".