72688841 has 2 divisors, whose sum is σ = 72688842. Its totient is φ = 72688840.

The previous prime is 72688829. The next prime is 72688843. The reversal of 72688841 is 14888627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52258441 + 20430400 = 7229^2 + 4520^2 .

It is a cyclic number.

It is not a de Polignac number, because 72688841 - 2¹⁰ = 72687817 is a prime.

Together with 72688843, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72688792 and 72688801.

It is not a weakly prime, because it can be changed into another prime (72688843) 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, 36344420 + 36344421.

It is an arithmetic number, because the mean of its divisors is an integer number (36344421).

Almost surely, 2^72688841 is an apocalyptic number.

It is an amenable number.

72688841 is a deficient number, since it is larger than the sum of its proper divisors (1).

72688841 is an equidigital number, since it uses as much as digits as its factorization.

72688841 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 172032, while the sum is 44.

The square root of 72688841 is about 8525.7750967287. The cubic root of 72688841 is about 417.3392661773.

The spelling of 72688841 in words is "seventy-two million, six hundred eighty-eight thousand, eight hundred forty-one".