71563128 has 192 divisors, whose sum is σ = 232888320. Its totient is φ = 18144000.

The previous prime is 71563123. The next prime is 71563147. The reversal of 71563128 is 82136517.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71563123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473853 + ... + 474003.

It is an arithmetic number, because the mean of its divisors is an integer number (1212960).

Almost surely, 2^71563128 is an apocalyptic number.

71563128 is a gapful number since it is divisible by the number (78) 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 71563128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116444160).

71563128 is an abundant number, since it is smaller than the sum of its proper divisors (161325192).

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

71563128 is a wasteful number, since it uses less digits than its factorization.

71563128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 71563128 is about 8459.4992759619. The cubic root of 71563128 is about 415.1736400193.

The spelling of 71563128 in words is "seventy-one million, five hundred sixty-three thousand, one hundred twenty-eight".