72644123 has 2 divisors, whose sum is σ = 72644124. Its totient is φ = 72644122.

The previous prime is 72644083. The next prime is 72644141. The reversal of 72644123 is 32144627.

It is a strong prime.

It is an emirp because it is prime and its reverse (32144627) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72644123 - 2¹⁸ = 72381979 is a prime.

It is equal to p_4264355 and since 72644123 and 4264355 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (72644153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36322061 + 36322062.

It is an arithmetic number, because the mean of its divisors is an integer number (36322062).

Almost surely, 2^72644123 is an apocalyptic number.

72644123 is a deficient number, since it is larger than the sum of its proper divisors (1).

72644123 is an equidigital number, since it uses as much as digits as its factorization.

72644123 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8064, while the sum is 29.

The square root of 72644123 is about 8523.1521751052. The cubic root of 72644123 is about 417.2536665841.

The spelling of 72644123 in words is "seventy-two million, six hundred forty-four thousand, one hundred twenty-three".