72510257 has 2 divisors, whose sum is σ = 72510258. Its totient is φ = 72510256.

The previous prime is 72510173. The next prime is 72510359. The reversal of 72510257 is 75201527.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69872881 + 2637376 = 8359^2 + 1624^2 .

It is an emirp because it is prime and its reverse (75201527) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72510257 - 2⁸ = 72510001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (72510157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36255128 + 36255129.

It is an arithmetic number, because the mean of its divisors is an integer number (36255129).

Almost surely, 2^72510257 is an apocalyptic number.

It is an amenable number.

72510257 is a deficient number, since it is larger than the sum of its proper divisors (1).

72510257 is an equidigital number, since it uses as much as digits as its factorization.

72510257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4900, while the sum is 29.

The square root of 72510257 is about 8515.2954734407. The cubic root of 72510257 is about 416.9972089288.

The spelling of 72510257 in words is "seventy-two million, five hundred ten thousand, two hundred fifty-seven".