71385408 has 112 divisors (see below), whose sum is σ = 212344000. Its totient is φ = 23514624.

The previous prime is 71385403. The next prime is 71385421. The reversal of 71385408 is 80458317.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71385403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188163 + ... + 188541.

Almost surely, 2^71385408 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 71385408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106172000).

71385408 is an abundant number, since it is smaller than the sum of its proper divisors (140958592).

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

71385408 is a wasteful number, since it uses less digits than its factorization.

71385408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 71385408 is about 8448.9885785223. The cubic root of 71385408 is about 414.8296741402.

The spelling of 71385408 in words is "seventy-one million, three hundred eighty-five thousand, four hundred eight".