72113131 has 2 divisors, whose sum is σ = 72113132. Its totient is φ = 72113130.

The previous prime is 72113089. The next prime is 72113149. The reversal of 72113131 is 13131127.

It is a strong prime.

It is an emirp because it is prime and its reverse (13131127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72113131 - 2⁷ = 72113003 is a prime.

It is a super-2 number, since 2×72113131² = 10400607325246322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72113099 and 72113108.

It is not a weakly prime, because it can be changed into another prime (72113731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36056565 + 36056566.

It is an arithmetic number, because the mean of its divisors is an integer number (36056566).

Almost surely, 2^72113131 is an apocalyptic number.

72113131 is a deficient number, since it is larger than the sum of its proper divisors (1).

72113131 is an equidigital number, since it uses as much as digits as its factorization.

72113131 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 126, while the sum is 19.

The square root of 72113131 is about 8491.9450657667. The cubic root of 72113131 is about 416.2345412951.

Adding to 72113131 its reverse (13131127), we get a palindrome (85244258).

The spelling of 72113131 in words is "seventy-two million, one hundred thirteen thousand, one hundred thirty-one".