71353568 has 96 divisors (see below), whose sum is σ = 170698752. Its totient is φ = 28915200.

The previous prime is 71353561. The next prime is 71353577. The reversal of 71353568 is 86535317.

Its product of digits (75600) is a multiple of the sum of its prime divisors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71353561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141605 + ... + 142107.

It is an arithmetic number, because the mean of its divisors is an integer number (1778112).

Almost surely, 2^71353568 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 71353568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85349376).

71353568 is an abundant number, since it is smaller than the sum of its proper divisors (99345184).

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

71353568 is a wasteful number, since it uses less digits than its factorization.

71353568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 560 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 71353568 is about 8447.1041191642. The cubic root of 71353568 is about 414.7679895400.

It can be divided in two parts, 7135 and 3568, that multiplied together give a triangular number (25457680 = T₇₁₃₅).

The spelling of 71353568 in words is "seventy-one million, three hundred fifty-three thousand, five hundred sixty-eight".