71438368 has 48 divisors (see below), whose sum is σ = 151865280. Its totient is φ = 32978176.

The previous prime is 71438327. The next prime is 71438377. The reversal of 71438368 is 86383417.

It is a self number, because there is not a number n which added to its sum of digits gives 71438368.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19671 + ... + 23017.

It is an arithmetic number, because the mean of its divisors is an integer number (3163860).

Almost surely, 2^71438368 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 71438368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75932640).

71438368 is an abundant number, since it is smaller than the sum of its proper divisors (80426912).

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

71438368 is a wasteful number, since it uses less digits than its factorization.

71438368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3401 counting only the distinct ones).

The product of its digits is 96768, while the sum is 40.

The square root of 71438368 is about 8452.1221003959. The cubic root of 71438368 is about 414.9322345441.

The spelling of 71438368 in words is "seventy-one million, four hundred thirty-eight thousand, three hundred sixty-eight".