71926258474225 has 27 divisors (see below), whose sum is σ = 94130809411233. Its totient is φ = 54511922111040.

The previous prime is 71926258474223. The next prime is 71926258474249. The reversal of 71926258474225 is 52247485262917.

The square root of 71926258474225 is 8480935.

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 1117466752609 + 70808791721616 = 1057103^2 + 8414796^2 .

It is not a de Polignac number, because 71926258474225 - 2¹ = 71926258474223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71926258474223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 805644189 + ... + 805733461.

Almost surely, 2^{71926258474225} is an apocalyptic number.

71926258474225 is the 8480935-th square number.

71926258474225 is the 4240468-th centered octagonal number.

It is an amenable number.

71926258474225 is a deficient number, since it is larger than the sum of its proper divisors (22204550937008).

71926258474225 is an frugal number, since it uses more digits than its factorization.

71926258474225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178594 (or 89297 counting only the distinct ones).

The product of its digits is 135475200, while the sum is 64.

The spelling of 71926258474225 in words is "seventy-one trillion, nine hundred twenty-six billion, two hundred fifty-eight million, four hundred seventy-four thousand, two hundred twenty-five".