71744872960656 has 240 divisors, whose sum is σ = 232515602227584. Its totient is φ = 20227936813056.

The previous prime is 71744872960613. The next prime is 71744872960667. The reversal of 71744872960656 is 65606927844717.

71744872960656 is a `hidden beast` number, since 7 + 1 + 7 + 4 + 4 + 8 + 7 + 2 + 9 + 606 + 5 + 6 = 666.

It is a super-2 number, since 2×71744872960656² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 26424846 + ... + 29013138.

Almost surely, 2^{71744872960656} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71744872960656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116257801113792).

71744872960656 is an abundant number, since it is smaller than the sum of its proper divisors (160770729266928).

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

71744872960656 is a wasteful number, since it uses less digits than its factorization.

71744872960656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588678 (or 2588669 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 71744872960656 in words is "seventy-one trillion, seven hundred forty-four billion, eight hundred seventy-two million, nine hundred sixty thousand, six hundred fifty-six".