71909467203025 has 9 divisors (see below), whose sum is σ = 89167791907441. Its totient is φ = 57527539842640.

The previous prime is 71909467202933. The next prime is 71909467203029. The reversal of 71909467203025 is 52030276490917.

The square root of 71909467203025 is 8479945.

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 172903777489 + 71736563425536 = 415817^2 + 8469744^2 .

It is not a de Polignac number, because 71909467203025 - 2²⁵ = 71909433648593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71909467203029) 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, 41551731 + ... + 43247719.

Almost surely, 2^{71909467203025} is an apocalyptic number.

71909467203025 is the 8479945-th square number.

71909467203025 is the 4239973-rd centered octagonal number.

It is an amenable number.

71909467203025 is a deficient number, since it is larger than the sum of its proper divisors (17258324704416).

71909467203025 is an frugal number, since it uses more digits than its factorization.

71909467203025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391988 (or 1695994 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 55.

The spelling of 71909467203025 in words is "seventy-one trillion, nine hundred nine billion, four hundred sixty-seven million, two hundred three thousand, twenty-five".