72175097 has 2 divisors, whose sum is σ = 72175098. Its totient is φ = 72175096.

The previous prime is 72175079. The next prime is 72175133. The reversal of 72175097 is 79057127.

Together with previous prime (72175079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37258816 + 34916281 = 6104^2 + 5909^2 .

It is a cyclic number.

It is not a de Polignac number, because 72175097 - 2¹⁶ = 72109561 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72175097.

It is not a weakly prime, because it can be changed into another prime (72175007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36087548 + 36087549.

It is an arithmetic number, because the mean of its divisors is an integer number (36087549).

Almost surely, 2^72175097 is an apocalyptic number.

It is an amenable number.

72175097 is a deficient number, since it is larger than the sum of its proper divisors (1).

72175097 is an equidigital number, since it uses as much as digits as its factorization.

72175097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30870, while the sum is 38.

The square root of 72175097 is about 8495.5927986221. The cubic root of 72175097 is about 416.3537290447.

The spelling of 72175097 in words is "seventy-two million, one hundred seventy-five thousand, ninety-seven".