72210137 has 2 divisors, whose sum is σ = 72210138. Its totient is φ = 72210136.

The previous prime is 72210077. The next prime is 72210139. The reversal of 72210137 is 73101227.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68293696 + 3916441 = 8264^2 + 1979^2 .

It is a cyclic number.

It is not a de Polignac number, because 72210137 - 2²² = 68015833 is a prime.

Together with 72210139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72210139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36105068 + 36105069.

It is an arithmetic number, because the mean of its divisors is an integer number (36105069).

Almost surely, 2^72210137 is an apocalyptic number.

It is an amenable number.

72210137 is a deficient number, since it is larger than the sum of its proper divisors (1).

72210137 is an equidigital number, since it uses as much as digits as its factorization.

72210137 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 72210137 is about 8497.6547941182. The cubic root of 72210137 is about 416.4210961145.

The spelling of 72210137 in words is "seventy-two million, two hundred ten thousand, one hundred thirty-seven".