71226594972225 has 243 divisors, whose sum is σ = 163143282771651. Its totient is φ = 29596611844800.

The previous prime is 71226594972223. The next prime is 71226594972251. The reversal of 71226594972225 is 52227949562217.

It is a happy number.

The square root of 71226594972225 is 8439585.

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

71226594972225 is a `hidden beast` number, since 7 + 12 + 2 + 6 + 594 + 9 + 7 + 2 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25641574190001 + 45585020782224 = 5063751^2 + 6751668^2 .

It is not a de Polignac number, because 71226594972225 - 2¹ = 71226594972223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (71226594972223) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 9747717022 + ... + 9747724328.

Almost surely, 2^{71226594972225} is an apocalyptic number.

71226594972225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71226594972225 is the 8439585-th square number.

71226594972225 is the 4219793-rd centered octagonal number.

It is an amenable number.

71226594972225 is an abundant number, since it is smaller than the sum of its proper divisors (91916687799426).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71226594972225 is an equidigital number, since it uses as much as digits as its factorization.

71226594972225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666 (or 7333 counting only the distinct ones).

The product of its digits is 76204800, while the sum is 63.

The spelling of 71226594972225 in words is "seventy-one trillion, two hundred twenty-six billion, five hundred ninety-four million, nine hundred seventy-two thousand, two hundred twenty-five".