71724840142000 has 80 divisors (see below), whose sum is σ = 173434266907200. Its totient is φ = 28689339955200.

The previous prime is 71724840141953. The next prime is 71724840142057. The reversal of 71724840142000 is 24104842717.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

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 15 ways as a sum of consecutive naturals, for example, 103091296 + ... + 103784704.

It is an arithmetic number, because the mean of its divisors is an integer number (2167928336340).

Almost surely, 2^{71724840142000} is an apocalyptic number.

It is an amenable number.

71724840142000 is an abundant number, since it is smaller than the sum of its proper divisors (101709426765200).

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

71724840142000 is a wasteful number, since it uses less digits than its factorization.

71724840142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745151 (or 745135 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 40.

Adding to 71724840142000 its reverse (24104842717), we get a palindrome (71748944984717).

The spelling of 71724840142000 in words is "seventy-one trillion, seven hundred twenty-four billion, eight hundred forty million, one hundred forty-two thousand".