71411872900 has 27 divisors (see below), whose sum is σ = 154969563301. Its totient is φ = 28563680240.

The previous prime is 71411872853. The next prime is 71411872907. The reversal of 71411872900 is 927811417.

The square root of 71411872900 is 267230.

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

It can be written as a sum of positive squares in only one way, i.e., 25708274244 + 45703598656 = 160338^2 + 213784^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71411872907) 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, 2658939 + ... + 2685661.

Almost surely, 2^71411872900 is an apocalyptic number.

71411872900 is the 267230-th square number.

It is an amenable number.

71411872900 is an abundant number, since it is smaller than the sum of its proper divisors (83557690401).

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

71411872900 is an frugal number, since it uses more digits than its factorization.

71411872900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53460 (or 26730 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 40.

The spelling of 71411872900 in words is "seventy-one billion, four hundred eleven million, eight hundred seventy-two thousand, nine hundred".