71755339656 has 768 divisors, whose sum is σ = 264266956800. Its totient is φ = 15738624000.

The previous prime is 71755339651. The next prime is 71755339679. The reversal of 71755339656 is 65693355717.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 71755339596 and 71755339605.

It is not an unprimeable number, because it can be changed into a prime (71755339651) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 155651266 + ... + 155651726.

It is an arithmetic number, because the mean of its divisors is an integer number (344097600).

Almost surely, 2^71755339656 is an apocalyptic number.

71755339656 is a gapful number since it is divisible by the number (76) 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 71755339656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132133478400).

71755339656 is an abundant number, since it is smaller than the sum of its proper divisors (192511617144).

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

71755339656 is a wasteful number, since it uses less digits than its factorization.

71755339656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 547 counting only the distinct ones).

The product of its digits is 17860500, while the sum is 57.

The spelling of 71755339656 in words is "seventy-one billion, seven hundred fifty-five million, three hundred thirty-nine thousand, six hundred fifty-six".