71867422561 has 9 divisors (see below), whose sum is σ = 78998011729. Its totient is φ = 65331339700.

The previous prime is 71867422547. The next prime is 71867422567. The reversal of 71867422561 is 16522476817.

The square root of 71867422561 is 268081.

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

It is not a de Polignac number, because 71867422561 - 2¹³ = 71867414369 is a prime.

It is a super-2 number, since 2×71867422561² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71867422567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2936706 + ... + 2961076.

Almost surely, 2^71867422561 is an apocalyptic number.

71867422561 is the 268081-st square number.

71867422561 is the 134041-st centered octagonal number.

It is an amenable number.

71867422561 is a deficient number, since it is larger than the sum of its proper divisors (7130589168).

71867422561 is an frugal number, since it uses more digits than its factorization.

71867422561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48764 (or 24382 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 49.

Multiplying 71867422561 by its sum of digits (49), we get a square (3521503705489 = 1876567²).

The spelling of 71867422561 in words is "seventy-one billion, eight hundred sixty-seven million, four hundred twenty-two thousand, five hundred sixty-one".