71937555523201 has 9 divisors (see below), whose sum is σ = 74503953743401. Its totient is φ = 69456712675504.

The previous prime is 71937555523157. The next prime is 71937555523277. The reversal of 71937555523201 is 10232555573917.

The square root of 71937555523201 is 8481601.

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 23340483777601 + 48597071745600 = 4831199^2 + 6971160^2 .

It is not a de Polignac number, because 71937555523201 - 2¹³ = 71937555515009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71937555523501) 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, 245820195 + ... + 246112663.

Almost surely, 2^{71937555523201} is an apocalyptic number.

71937555523201 is the 8481601-st square number.

71937555523201 is the 4240801-st centered octagonal number.

It is an amenable number.

71937555523201 is a deficient number, since it is larger than the sum of its proper divisors (2566398220200).

71937555523201 is an frugal number, since it uses more digits than its factorization.

71937555523201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584996 (or 292498 counting only the distinct ones).

The product of its (nonzero) digits is 9922500, while the sum is 55.

The spelling of 71937555523201 in words is "seventy-one trillion, nine hundred thirty-seven billion, five hundred fifty-five million, five hundred twenty-three thousand, two hundred one".