71005440 has 216 divisors, whose sum is σ = 253570464. Its totient is φ = 16793600.

The previous prime is 71005433. The next prime is 71005457. The reversal of 71005440 is 4450017.

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 23 ways as a sum of consecutive naturals, for example, 1731820 + ... + 1731860.

Almost surely, 2^71005440 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 71005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126785232).

71005440 is an abundant number, since it is smaller than the sum of its proper divisors (182565024).

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

71005440 is a wasteful number, since it uses less digits than its factorization.

71005440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 71005440 is about 8426.4725716043. The cubic root of 71005440 is about 414.0923502818.

Adding to 71005440 its reverse (4450017), we get a palindrome (75455457).

The spelling of 71005440 in words is "seventy-one million, five thousand, four hundred forty".