72012013 has 2 divisors, whose sum is σ = 72012014. Its totient is φ = 72012012.

The previous prime is 72012007. The next prime is 72012041. The reversal of 72012013 is 31021027.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 36036009 + 35976004 = 6003^2 + 5998^2 .

It is a cyclic number.

It is not a de Polignac number, because 72012013 - 2²⁵ = 38457581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72012053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36006006 + 36006007.

It is an arithmetic number, because the mean of its divisors is an integer number (36006007).

Almost surely, 2^72012013 is an apocalyptic number.

It is an amenable number.

72012013 is a deficient number, since it is larger than the sum of its proper divisors (1).

72012013 is an equidigital number, since it uses as much as digits as its factorization.

72012013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72012013 is about 8485.9892175279. The cubic root of 72012013 is about 416.0399004042.

The spelling of 72012013 in words is "seventy-two million, twelve thousand, thirteen".