71442183792 has 160 divisors (see below), whose sum is σ = 220385894400. Its totient is φ = 19498786560.

The previous prime is 71442183781. The next prime is 71442183797. The reversal of 71442183792 is 29738124417.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71442183797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6261709 + ... + 6273107.

It is an arithmetic number, because the mean of its divisors is an integer number (1377411840).

Almost surely, 2^71442183792 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 71442183792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110192947200).

71442183792 is an abundant number, since it is smaller than the sum of its proper divisors (148943710608).

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

71442183792 is a wasteful number, since it uses less digits than its factorization.

71442183792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12251 (or 12245 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The spelling of 71442183792 in words is "seventy-one billion, four hundred forty-two million, one hundred eighty-three thousand, seven hundred ninety-two".