71262836401 has 27 divisors (see below), whose sum is σ = 77795881153. Its totient is φ = 65264180480.

The previous prime is 71262836399. The next prime is 71262836413. The reversal of 71262836401 is 10463826217.

The square root of 71262836401 is 266951.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5020431025 + 66242405376 = 70855^2 + 257376^2 .

It is not a de Polignac number, because 71262836401 - 2¹ = 71262836399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71262836471) 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 in 26 ways as a sum of consecutive naturals, for example, 186064656 + ... + 186065038.

Almost surely, 2^71262836401 is an apocalyptic number.

71262836401 is the 266951-st square number.

71262836401 is the 133476-th centered octagonal number.

It is an amenable number.

71262836401 is a deficient number, since it is larger than the sum of its proper divisors (6533044752).

71262836401 is an frugal number, since it uses more digits than its factorization.

71262836401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 71262836401 in words is "seventy-one billion, two hundred sixty-two million, eight hundred thirty-six thousand, four hundred one".