71734530701376 has 567 divisors, whose sum is σ = 218789271049869. Its totient is φ = 22470386770944.

The previous prime is 71734530701329. The next prime is 71734530701411. The reversal of 71734530701376 is 67310703543717.

It is a happy number.

The square root of 71734530701376 is 8469624.

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

71734530701376 is a `hidden beast` number, since 7 + 1 + 7 + 3 + 4 + 530 + 70 + 1 + 37 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37615847846976 + 34118682854400 = 6133176^2 + 5841120^2 .

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 80 ways as a sum of consecutive naturals, for example, 253478906931 + ... + 253478907213.

Almost surely, 2^{71734530701376} is an apocalyptic number.

71734530701376 is the 8469624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71734530701376

71734530701376 is an abundant number, since it is smaller than the sum of its proper divisors (147054740348493).

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

71734530701376 is an equidigital number, since it uses as much as digits as its factorization.

71734530701376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 54.

The spelling of 71734530701376 in words is "seventy-one trillion, seven hundred thirty-four billion, five hundred thirty million, seven hundred one thousand, three hundred seventy-six".