71626127009472 has 336 divisors, whose sum is σ = 242423255007232. Its totient is φ = 19786301982720.

The previous prime is 71626127009453. The next prime is 71626127009537. The reversal of 71626127009472 is 27490072162617.

71626127009472 is a `hidden beast` number, since 7 + 1 + 626 + 1 + 2 + 7 + 0 + 0 + 9 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136354113 + ... + 136878399.

Almost surely, 2^{71626127009472} is an apocalyptic number.

71626127009472 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 71626127009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121211627503616).

71626127009472 is an abundant number, since it is smaller than the sum of its proper divisors (170797127997760).

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

71626127009472 is a wasteful number, since it uses less digits than its factorization.

71626127009472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525436 (or 525423 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 71626127009472 in words is "seventy-one trillion, six hundred twenty-six billion, one hundred twenty-seven million, nine thousand, four hundred seventy-two".