72096257 has 2 divisors, whose sum is σ = 72096258. Its totient is φ = 72096256.

The previous prime is 72096229. The next prime is 72096259. The reversal of 72096257 is 75269027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66601921 + 5494336 = 8161^2 + 2344^2 .

It is a cyclic number.

It is not a de Polignac number, because 72096257 - 2²⁶ = 4987393 is a prime.

Together with 72096259, 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 72096257.

It is not a weakly prime, because it can be changed into another prime (72096259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36048128 + 36048129.

It is an arithmetic number, because the mean of its divisors is an integer number (36048129).

Almost surely, 2^72096257 is an apocalyptic number.

It is an amenable number.

72096257 is a deficient number, since it is larger than the sum of its proper divisors (1).

72096257 is an equidigital number, since it uses as much as digits as its factorization.

72096257 is an evil number, because the sum of its binary digits is even.

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

The square root of 72096257 is about 8490.9514778969. The cubic root of 72096257 is about 416.2020733777.

The spelling of 72096257 in words is "seventy-two million, ninety-six thousand, two hundred fifty-seven".