71287936 has 48 divisors (see below), whose sum is σ = 151208370. Its totient is φ = 33361920.

The previous prime is 71287927. The next prime is 71287949. The reversal of 71287936 is 63978217.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 25806400 + 45481536 = 5080^2 + 6744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 71287892 and 71287901.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 393766 + ... + 393946.

Almost surely, 2^71287936 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 71287936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75604185).

71287936 is an abundant number, since it is smaller than the sum of its proper divisors (79920434).

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

71287936 is an equidigital number, since it uses as much as digits as its factorization.

71287936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 200 counting only the distinct ones).

The product of its digits is 127008, while the sum is 43.

The square root of 71287936 is about 8443.2183437360. The cubic root of 71287936 is about 414.6407807489.

The spelling of 71287936 in words is "seventy-one million, two hundred eighty-seven thousand, nine hundred thirty-six".