71862461033120 has 96 divisors (see below), whose sum is σ = 170346157470720. Its totient is φ = 28648396385280.

The previous prime is 71862461033119. The next prime is 71862461033137. The reversal of 71862461033120 is 2133016426817.

It is a happy number.

It is a super-3 number, since 3×71862461033120³ (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87379991 + ... + 88198569.

It is an arithmetic number, because the mean of its divisors is an integer number (1774439140320).

Almost surely, 2^{71862461033120} 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 71862461033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85173078735360).

71862461033120 is an abundant number, since it is smaller than the sum of its proper divisors (98483696437600).

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

71862461033120 is a wasteful number, since it uses less digits than its factorization.

71862461033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820438 (or 820430 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

Adding to 71862461033120 its reverse (2133016426817), we get a palindrome (73995477459937).

The spelling of 71862461033120 in words is "seventy-one trillion, eight hundred sixty-two billion, four hundred sixty-one million, thirty-three thousand, one hundred twenty".