71716119552 has 1056 divisors, whose sum is σ = 283260257280. Its totient is φ = 17557585920.

The previous prime is 71716119547. The next prime is 71716119557. The reversal of 71716119552 is 25591161717.

71716119552 is a `hidden beast` number, since 71 + 7 + 16 + 1 + 19 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (71716119547) and next prime (71716119557).

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 71716119498 and 71716119507.

It is not an unprimeable number, because it can be changed into a prime (71716119557) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 364041118 + ... + 364041314.

It is an arithmetic number, because the mean of its divisors is an integer number (268238880).

Almost surely, 2^71716119552 is an apocalyptic number.

71716119552 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 71716119552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141630128640).

71716119552 is an abundant number, since it is smaller than the sum of its proper divisors (211544137728).

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

71716119552 is a wasteful number, since it uses less digits than its factorization.

71716119552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 239 counting only the distinct ones).

The product of its digits is 132300, while the sum is 45.

The spelling of 71716119552 in words is "seventy-one billion, seven hundred sixteen million, one hundred nineteen thousand, five hundred fifty-two".