71540431200 has 540 divisors, whose sum is σ = 303502457412. Its totient is φ = 16351372800.

The previous prime is 71540431199. The next prime is 71540431219. The reversal of 71540431200 is 213404517.

71540431200 is a `hidden beast` number, since 71 + 540 + 4 + 31 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3163935 + ... + 3186465.

Almost surely, 2^71540431200 is an apocalyptic number.

71540431200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71540431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151751228706).

71540431200 is an abundant number, since it is smaller than the sum of its proper divisors (231962026212).

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

71540431200 is a wasteful number, since it uses less digits than its factorization.

71540431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22577 (or 22548 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 71540431200 its reverse (213404517), we get a palindrome (71753835717).

The spelling of 71540431200 in words is "seventy-one billion, five hundred forty million, four hundred thirty-one thousand, two hundred".