71076093201 has 9 divisors (see below), whose sum is σ = 102666623241. Its totient is φ = 47383528932.

The previous prime is 71076093173. The next prime is 71076093217. The reversal of 71076093201 is 10239067017.

It is a happy number.

The square root of 71076093201 is 266601.

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

71076093201 is a `hidden beast` number, since 7 + 10 + 7 + 609 + 32 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 71076093201 - 2³¹ = 68928609553 is a prime.

It is a super-2 number, since 2×71076093201² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (71076093251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 755370 + ... + 844236.

Almost surely, 2^71076093201 is an apocalyptic number.

71076093201 is the 266601-st square number.

71076093201 is the 133301-st centered octagonal number.

It is an amenable number.

71076093201 is a deficient number, since it is larger than the sum of its proper divisors (31590530040).

71076093201 is an frugal number, since it uses more digits than its factorization.

71076093201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177740 (or 88870 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

Multiplying 71076093201 by its sum of digits (36), we get a square (2558739355236 = 1599606²).

The spelling of 71076093201 in words is "seventy-one billion, seventy-six million, ninety-three thousand, two hundred one".