71281536 has 128 divisors (see below), whose sum is σ = 202327200. Its totient is φ = 22192128.

The previous prime is 71281523. The next prime is 71281543. The reversal of 71281536 is 63518217.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 71281497 and 71281506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411946 + ... + 412118.

Almost surely, 2^71281536 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 71281536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101163600).

71281536 is an abundant number, since it is smaller than the sum of its proper divisors (131045664).

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

71281536 is a wasteful number, since it uses less digits than its factorization.

71281536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 244 counting only the distinct ones).

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

The square root of 71281536 is about 8442.8393328311. The cubic root of 71281536 is about 414.6283720088.

It can be divided in two parts, 71281 and 536, that added together give a palindrome (71817).

The spelling of 71281536 in words is "seventy-one million, two hundred eighty-one thousand, five hundred thirty-six".