72830113 has 2 divisors, whose sum is σ = 72830114. Its totient is φ = 72830112.

The previous prime is 72830111. The next prime is 72830117. The reversal of 72830113 is 31103827.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63872064 + 8958049 = 7992^2 + 2993^2 .

It is a cyclic number.

It is not a de Polignac number, because 72830113 - 2¹ = 72830111 is a prime.

Together with 72830111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (72830111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36415056 + 36415057.

It is an arithmetic number, because the mean of its divisors is an integer number (36415057).

Almost surely, 2^72830113 is an apocalyptic number.

It is an amenable number.

72830113 is a deficient number, since it is larger than the sum of its proper divisors (1).

72830113 is an equidigital number, since it uses as much as digits as its factorization.

72830113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 72830113 is about 8534.0560696541. The cubic root of 72830113 is about 417.6094598672.

The spelling of 72830113 in words is "seventy-two million, eight hundred thirty thousand, one hundred thirteen".