72592097 has 2 divisors, whose sum is σ = 72592098. Its totient is φ = 72592096.

The previous prime is 72592081. The next prime is 72592109. The reversal of 72592097 is 79029527.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69072721 + 3519376 = 8311^2 + 1876^2 .

It is an emirp because it is prime and its reverse (79029527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72592097 - 2⁴ = 72592081 is a prime.

It is a super-2 number, since 2×72592097² = 10539225093714818, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72502097) 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, 36296048 + 36296049.

It is an arithmetic number, because the mean of its divisors is an integer number (36296049).

Almost surely, 2^72592097 is an apocalyptic number.

It is an amenable number.

72592097 is a deficient number, since it is larger than the sum of its proper divisors (1).

72592097 is an equidigital number, since it uses as much as digits as its factorization.

72592097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 79380, while the sum is 41.

The square root of 72592097 is about 8520.0995886198. The cubic root of 72592097 is about 417.1540337315.

The spelling of 72592097 in words is "seventy-two million, five hundred ninety-two thousand, ninety-seven".