72242113 has 2 divisors, whose sum is σ = 72242114. Its totient is φ = 72242112.

The previous prime is 72242111. The next prime is 72242119. The reversal of 72242113 is 31124227.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 4870849 = 8208^2 + 2207^2 .

It is a cyclic number.

It is not a de Polignac number, because 72242113 - 2¹ = 72242111 is a prime.

Together with 72242111, it forms a pair of twin primes.

It is equal to p_4242163 and since 72242113 and 4242163 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 (72242111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36121056 + 36121057.

It is an arithmetic number, because the mean of its divisors is an integer number (36121057).

Almost surely, 2^72242113 is an apocalyptic number.

It is an amenable number.

72242113 is a deficient number, since it is larger than the sum of its proper divisors (1).

72242113 is an equidigital number, since it uses as much as digits as its factorization.

72242113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 672, while the sum is 22.

The square root of 72242113 is about 8499.5360461616. The cubic root of 72242113 is about 416.4825533953.

The spelling of 72242113 in words is "seventy-two million, two hundred forty-two thousand, one hundred thirteen".