71964536 has 48 divisors (see below), whose sum is σ = 166212000. Its totient is φ = 29025024.

The previous prime is 71964527. The next prime is 71964577. The reversal of 71964536 is 63546917.

It is a junction number, because it is equal to n+sod(n) for n = 71964493 and 71964502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1265 + ... + 12063.

It is an arithmetic number, because the mean of its divisors is an integer number (3462750).

Almost surely, 2^71964536 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 71964536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83106000).

71964536 is an abundant number, since it is smaller than the sum of its proper divisors (94247464).

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

71964536 is a wasteful number, since it uses less digits than its factorization.

71964536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 10825 counting only the distinct ones).

The product of its digits is 136080, while the sum is 41.

The square root of 71964536 is about 8483.1913806067. The cubic root of 71964536 is about 415.9484496033.

The spelling of 71964536 in words is "seventy-one million, nine hundred sixty-four thousand, five hundred thirty-six".