71476704072 has 128 divisors (see below), whose sum is σ = 200703283200. Its totient is φ = 23568148800.

The previous prime is 71476704071. The next prime is 71476704083. The reversal of 71476704072 is 27040767417.

71476704072 is a `hidden beast` number, since 7 + 1 + 476 + 70 + 40 + 72 = 666.

It is a super-2 number, since 2×71476704072² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (71476704071) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7606497 + ... + 7615887.

It is an arithmetic number, because the mean of its divisors is an integer number (1567994400).

Almost surely, 2^71476704072 is an apocalyptic number.

71476704072 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 71476704072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100351641600).

71476704072 is an abundant number, since it is smaller than the sum of its proper divisors (129226579128).

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

71476704072 is a wasteful number, since it uses less digits than its factorization.

71476704072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9784 (or 9774 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The spelling of 71476704072 in words is "seventy-one billion, four hundred seventy-six million, seven hundred four thousand, seventy-two".