71532214400 has 96 divisors (see below), whose sum is σ = 177833694180. Its totient is φ = 28430438400.

The previous prime is 71532214393. The next prime is 71532214487. The reversal of 71532214400 is 441223517.

It can be written as a sum of positive squares in 6 ways, for example, as 19325448256 + 52206766144 = 139016^2 + 228488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431210 + ... + 573590.

Almost surely, 2^71532214400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71532214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88916847090).

71532214400 is an abundant number, since it is smaller than the sum of its proper divisors (106301479780).

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

71532214400 is a wasteful number, since it uses less digits than its factorization.

71532214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142562 (or 142545 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

Adding to 71532214400 its reverse (441223517), we get a palindrome (71973437917).

The spelling of 71532214400 in words is "seventy-one billion, five hundred thirty-two million, two hundred fourteen thousand, four hundred".