72107213 has 2 divisors, whose sum is σ = 72107214. Its totient is φ = 72107212.

The previous prime is 72107179. The next prime is 72107219. The reversal of 72107213 is 31270127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71961289 + 145924 = 8483^2 + 382^2 .

It is a cyclic number.

It is not a de Polignac number, because 72107213 - 2¹⁶ = 72041677 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72107219) 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, 36053606 + 36053607.

It is an arithmetic number, because the mean of its divisors is an integer number (36053607).

Almost surely, 2^72107213 is an apocalyptic number.

It is an amenable number.

72107213 is a deficient number, since it is larger than the sum of its proper divisors (1).

72107213 is an equidigital number, since it uses as much as digits as its factorization.

72107213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 588, while the sum is 23.

The square root of 72107213 is about 8491.5966107676. The cubic root of 72107213 is about 416.2231548187.

The spelling of 72107213 in words is "seventy-two million, one hundred seven thousand, two hundred thirteen".