71752603457 has 2 divisors, whose sum is σ = 71752603458. Its totient is φ = 71752603456.

The previous prime is 71752603397. The next prime is 71752603487. The reversal of 71752603457 is 75430625717.

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., 53217414721 + 18535188736 = 230689^2 + 136144^2 .

It is an emirp because it is prime and its reverse (75430625717) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 71752603457 - 2¹⁸ = 71752341313 is a prime.

It is a super-2 number, since 2×71752603457² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (71752603487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 35876301728 + 35876301729.

It is an arithmetic number, because the mean of its divisors is an integer number (35876301729).

Almost surely, 2^71752603457 is an apocalyptic number.

It is an amenable number.

71752603457 is a deficient number, since it is larger than the sum of its proper divisors (1).

71752603457 is an equidigital number, since it uses as much as digits as its factorization.

71752603457 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1234800, while the sum is 47.

It can be divided in two parts, 7175260 and 3457, that added together give a palindrome (7178717).

The spelling of 71752603457 in words is "seventy-one billion, seven hundred fifty-two million, six hundred three thousand, four hundred fifty-seven".