71890519747392 has 560 divisors, whose sum is σ = 220131941597568. Its totient is φ = 23183927377920.

The previous prime is 71890519747373. The next prime is 71890519747411. The reversal of 71890519747392 is 29374791509817.

71890519747392 is a `hidden beast` number, since 7 + 1 + 8 + 9 + 0 + 5 + 197 + 47 + 392 = 666.

It is an interprime number because it is at equal distance from previous prime (71890519747373) and next prime (71890519747411).

It is a super-2 number, since 2×71890519747392² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 71890519747392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16576091848 + ... + 16576096184.

Almost surely, 2^{71890519747392} is an apocalyptic number.

71890519747392 is a gapful number since it is divisible by the number (72) 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 71890519747392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110065970798784).

71890519747392 is an abundant number, since it is smaller than the sum of its proper divisors (148241421850176).

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

71890519747392 is a wasteful number, since it uses less digits than its factorization.

71890519747392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5036 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 71890519747392 in words is "seventy-one trillion, eight hundred ninety billion, five hundred nineteen million, seven hundred forty-seven thousand, three hundred ninety-two".