72623 has 2 divisors, whose sum is σ = 72624. Its totient is φ = 72622.

The previous prime is 72617. The next prime is 72643. The reversal of 72623 is 32627.

It is an a-pointer prime, because the next prime (72643) can be obtained adding 72623 to its sum of digits (20).

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 72623 - 2⁶ = 72559 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72595 and 72604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36311 + 36312.

It is an arithmetic number, because the mean of its divisors is an integer number (36312).

2⁷²⁶²³ is an apocalyptic number.

72623 is a deficient number, since it is larger than the sum of its proper divisors (1).

72623 is an equidigital number, since it uses as much as digits as its factorization.

72623 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 20.

The square root of 72623 is about 269.4865488294. The cubic root of 72623 is about 41.7213220534.

The spelling of 72623 in words is "seventy-two thousand, six hundred twenty-three".