72638941 has 2 divisors, whose sum is σ = 72638942. Its totient is φ = 72638940.

The previous prime is 72638851. The next prime is 72638953. The reversal of 72638941 is 14983627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 43164900 + 29474041 = 6570^2 + 5429^2 .

It is a cyclic number.

It is not a de Polignac number, because 72638941 - 2²⁵ = 39084509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72638894 and 72638903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72638981) 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, 36319470 + 36319471.

It is an arithmetic number, because the mean of its divisors is an integer number (36319471).

Almost surely, 2^72638941 is an apocalyptic number.

It is an amenable number.

72638941 is a deficient number, since it is larger than the sum of its proper divisors (1).

72638941 is an equidigital number, since it uses as much as digits as its factorization.

72638941 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 72576, while the sum is 40.

The square root of 72638941 is about 8522.8481741728. The cubic root of 72638941 is about 417.2437448826.

The spelling of 72638941 in words is "seventy-two million, six hundred thirty-eight thousand, nine hundred forty-one".