72356113 has 2 divisors, whose sum is σ = 72356114. Its totient is φ = 72356112.

The previous prime is 72356111. The next prime is 72356117. The reversal of 72356113 is 31165327.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61968384 + 10387729 = 7872^2 + 3223^2 .

It is a cyclic number.

It is not a de Polignac number, because 72356113 - 2¹ = 72356111 is a prime.

Together with 72356111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72356111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36178056 + 36178057.

It is an arithmetic number, because the mean of its divisors is an integer number (36178057).

Almost surely, 2^72356113 is an apocalyptic number.

It is an amenable number.

72356113 is a deficient number, since it is larger than the sum of its proper divisors (1).

72356113 is an equidigital number, since it uses as much as digits as its factorization.

72356113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 28.

The square root of 72356113 is about 8506.2396509856. The cubic root of 72356113 is about 416.7015118237.

The spelling of 72356113 in words is "seventy-two million, three hundred fifty-six thousand, one hundred thirteen".