72562097 has 2 divisors, whose sum is σ = 72562098. Its totient is φ = 72562096.

The previous prime is 72562051. The next prime is 72562099. The reversal of 72562097 is 79026527.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70627216 + 1934881 = 8404^2 + 1391^2 .

It is an emirp because it is prime and its reverse (79026527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72562097 - 2¹² = 72558001 is a prime.

Together with 72562099, 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 72562097.

It is not a weakly prime, because it can be changed into another prime (72562099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36281048 + 36281049.

It is an arithmetic number, because the mean of its divisors is an integer number (36281049).

Almost surely, 2^72562097 is an apocalyptic number.

It is an amenable number.

72562097 is a deficient number, since it is larger than the sum of its proper divisors (1).

72562097 is an equidigital number, since it uses as much as digits as its factorization.

72562097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 72562097 is about 8518.3388638866. The cubic root of 72562097 is about 417.0965603247.

The spelling of 72562097 in words is "seventy-two million, five hundred sixty-two thousand, ninety-seven".