71089408 has 72 divisors (see below), whose sum is σ = 156844296. Its totient is φ = 31948800.

The previous prime is 71089399. The next prime is 71089429. The reversal of 71089408 is 80498017.

It can be written as a sum of positive squares in 4 ways, for example, as 2663424 + 68425984 = 1632^2 + 8272^2 .

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 7 ways as a sum of consecutive naturals, for example, 136188 + ... + 136708.

It is an arithmetic number, because the mean of its divisors is an integer number (2178393).

Almost surely, 2^71089408 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 71089408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78422148).

71089408 is an abundant number, since it is smaller than the sum of its proper divisors (85754888).

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

71089408 is a wasteful number, since it uses less digits than its factorization.

71089408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 71089408 is about 8431.4534927259. The cubic root of 71089408 is about 414.2555152892.

The spelling of 71089408 in words is "seventy-one million, eighty-nine thousand, four hundred eight".