72105197 has 2 divisors, whose sum is σ = 72105198. Its totient is φ = 72105196.

The previous prime is 72105179. The next prime is 72105203. The reversal of 72105197 is 79150127.

Together with previous prime (72105179) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62188996 + 9916201 = 7886^2 + 3149^2 .

It is a cyclic number.

It is not a de Polignac number, because 72105197 - 2⁸ = 72104941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72105697) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36052598 + 36052599.

It is an arithmetic number, because the mean of its divisors is an integer number (36052599).

Almost surely, 2^72105197 is an apocalyptic number.

It is an amenable number.

72105197 is a deficient number, since it is larger than the sum of its proper divisors (1).

72105197 is an equidigital number, since it uses as much as digits as its factorization.

72105197 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 72105197 is about 8491.4779043462. The cubic root of 72105197 is about 416.2192758091.

The spelling of 72105197 in words is "seventy-two million, one hundred five thousand, one hundred ninety-seven".