71936475801120 has 2016 divisors, whose sum is σ = 303170422060800. Its totient is φ = 16071963328512.

The previous prime is 71936475801107. The next prime is 71936475801149. The reversal of 71936475801120 is 2110857463917.

71936475801120 is a `hidden beast` number, since 7 + 1 + 9 + 3 + 6 + 47 + 580 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 48311937336 + ... + 48311938824.

It is an arithmetic number, because the mean of its divisors is an integer number (150382153800).

It is a 3-persistent number, because k⋅71936475801120 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{71936475801120} is an apocalyptic number.

71936475801120 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 71936475801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151585211030400).

71936475801120 is an abundant number, since it is smaller than the sum of its proper divisors (231233946259680).

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

71936475801120 is a wasteful number, since it uses less digits than its factorization.

71936475801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 71936475801120 in words is "seventy-one trillion, nine hundred thirty-six billion, four hundred seventy-five million, eight hundred one thousand, one hundred twenty".