72624197 has 2 divisors, whose sum is σ = 72624198. Its totient is φ = 72624196.

The previous prime is 72624143. The next prime is 72624199. The reversal of 72624197 is 79142627.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55368481 + 17255716 = 7441^2 + 4154^2 .

It is a cyclic number.

It is not a de Polignac number, because 72624197 - 2¹⁴ = 72607813 is a prime.

Together with 72624199, it forms a pair of twin primes.

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 72624197.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72624199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36312098 + 36312099.

It is an arithmetic number, because the mean of its divisors is an integer number (36312099).

Almost surely, 2^72624197 is an apocalyptic number.

It is an amenable number.

72624197 is a deficient number, since it is larger than the sum of its proper divisors (1).

72624197 is an equidigital number, since it uses as much as digits as its factorization.

72624197 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 38.

The square root of 72624197 is about 8521.9831612131. The cubic root of 72624197 is about 417.2155127435.

The spelling of 72624197 in words is "seventy-two million, six hundred twenty-four thousand, one hundred ninety-seven".