72931601 has 2 divisors, whose sum is σ = 72931602. Its totient is φ = 72931600.

The previous prime is 72931553. The next prime is 72931603. The reversal of 72931601 is 10613927.

It is a Cunningham number, because it is equal to 8540²+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72931600 + 1 = 8540^2 + 1^2 .

It is an emirp because it is prime and its reverse (10613927) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72931601 is a prime.

It is a Sophie Germain prime.

Together with 72931603, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (72931603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36465800 + 36465801.

It is an arithmetic number, because the mean of its divisors is an integer number (36465801).

Almost surely, 2^72931601 is an apocalyptic number.

It is an amenable number.

72931601 is a deficient number, since it is larger than the sum of its proper divisors (1).

72931601 is an equidigital number, since it uses as much as digits as its factorization.

72931601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 29.

The square root of 72931601 is about 8540.0000585480. Note that the first 4 decimals coincide. The cubic root of 72931601 is about 417.8033479715.

The spelling of 72931601 in words is "seventy-two million, nine hundred thirty-one thousand, six hundred one".