71608794348672 has 384 divisors, whose sum is σ = 248067602640000. Its totient is φ = 19369246113792.

The previous prime is 71608794348659. The next prime is 71608794348683. The reversal of 71608794348672 is 27684349780617.

71608794348672 is a `hidden beast` number, since 7 + 1 + 6 + 0 + 8 + 79 + 4 + 3 + 486 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 71608794348672.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 219395454 + ... + 219721602.

It is an arithmetic number, because the mean of its divisors is an integer number (646009381875).

Almost surely, 2^{71608794348672} is an apocalyptic number.

71608794348672 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 71608794348672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124033801320000).

71608794348672 is an abundant number, since it is smaller than the sum of its proper divisors (176458808291328).

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

71608794348672 is a wasteful number, since it uses less digits than its factorization.

71608794348672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327628 (or 327613 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 71608794348672 in words is "seventy-one trillion, six hundred eight billion, seven hundred ninety-four million, three hundred forty-eight thousand, six hundred seventy-two".