72112631 has 2 divisors, whose sum is σ = 72112632. Its totient is φ = 72112630.

The previous prime is 72112627. The next prime is 72112633. The reversal of 72112631 is 13621127.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72112631 - 2² = 72112627 is a prime.

It is a super-2 number, since 2×72112631² = 10400463099484322, which contains 22 as substring.

Together with 72112633, 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 = 72112597 and 72112606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72112633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36056315 + 36056316.

It is an arithmetic number, because the mean of its divisors is an integer number (36056316).

Almost surely, 2^72112631 is an apocalyptic number.

72112631 is a deficient number, since it is larger than the sum of its proper divisors (1).

72112631 is an equidigital number, since it uses as much as digits as its factorization.

72112631 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 504, while the sum is 23.

The square root of 72112631 is about 8491.9156260528. The cubic root of 72112631 is about 416.2335792985.

Adding to 72112631 its reverse (13621127), we get a palindrome (85733758).

The spelling of 72112631 in words is "seventy-two million, one hundred twelve thousand, six hundred thirty-one".