71112408 has 64 divisors (see below), whose sum is σ = 186278400. Its totient is φ = 22592640.

The previous prime is 71112401. The next prime is 71112413. The reversal of 71112408 is 80421117.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71112401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57153 + ... + 58383.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^71112408 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 71112408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93139200).

71112408 is an abundant number, since it is smaller than the sum of its proper divisors (115165992).

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

71112408 is a wasteful number, since it uses less digits than its factorization.

71112408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352 (or 1348 counting only the distinct ones).

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

The square root of 71112408 is about 8432.8173228169. The cubic root of 71112408 is about 414.3001860298.

The spelling of 71112408 in words is "seventy-one million, one hundred twelve thousand, four hundred eight".