71121408 has 80 divisors (see below), whose sum is σ = 199525920. Its totient is φ = 22450176.

The previous prime is 71121403. The next prime is 71121431. The reversal of 71121408 is 80412117.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (71121403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27966 + ... + 30402.

It is an arithmetic number, because the mean of its divisors is an integer number (2494074).

Almost surely, 2^71121408 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 71121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99762960).

71121408 is an abundant number, since it is smaller than the sum of its proper divisors (128404512).

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

71121408 is a wasteful number, since it uses less digits than its factorization.

71121408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 71121408 is about 8433.3509354230. The cubic root of 71121408 is about 414.3176632628.

The spelling of 71121408 in words is "seventy-one million, one hundred twenty-one thousand, four hundred eight".