71029408 has 48 divisors (see below), whose sum is σ = 144789120. Its totient is φ = 34279936.

The previous prime is 71029397. The next prime is 71029411. The reversal of 71029408 is 80492017.

It is a self number, because there is not a number n which added to its sum of digits gives 71029408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124548 + ... + 125116.

It is an arithmetic number, because the mean of its divisors is an integer number (3016440).

It is a vampire number, since it can be written as 7802 ⋅ 9104 (with its own digits).

Almost surely, 2^71029408 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 71029408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72394560).

71029408 is an abundant number, since it is smaller than the sum of its proper divisors (73759712).

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

71029408 is a wasteful number, since it uses less digits than its factorization.

71029408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 71029408 is about 8427.8946362659. The cubic root of 71029408 is about 414.1389375524.

The spelling of 71029408 in words is "seventy-one million, twenty-nine thousand, four hundred eight".