71876738340225 has 243 divisors, whose sum is σ = 162189964632969. Its totient is φ = 30325520534400.

The previous prime is 71876738340193. The next prime is 71876738340257. The reversal of 71876738340225 is 52204383767817.

It is a happy number.

The square root of 71876738340225 is 8478015.

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

71876738340225 is a `hidden beast` number, since 7 + 1 + 8 + 7 + 67 + 3 + 8 + 340 + 225 = 666.

It is an interprime number because it is at equal distance from previous prime (71876738340193) and next prime (71876738340257).

It can be written as a sum of positive squares in 4 ways, for example, as 18526335633729 + 53350402706496 = 4304223^2 + 7304136^2 .

It is not a de Polignac number, because 71876738340225 - 2⁵ = 71876738340193 is a prime.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 11572487370 + ... + 11572493580.

Almost surely, 2^{71876738340225} is an apocalyptic number.

71876738340225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71876738340225 is the 8478015-th square number.

71876738340225 is the 4239008-th centered octagonal number.

It is an amenable number.

71876738340225 is an abundant number, since it is smaller than the sum of its proper divisors (90313226292744).

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

71876738340225 is an equidigital number, since it uses as much as digits as its factorization.

71876738340225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12478 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 71876738340225 in words is "seventy-one trillion, eight hundred seventy-six billion, seven hundred thirty-eight million, three hundred forty thousand, two hundred twenty-five".