71148480 has 112 divisors (see below), whose sum is σ = 243315744. Its totient is φ = 17510400.

The previous prime is 71148463. The next prime is 71148487. The reversal of 71148480 is 8484117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71148487) 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, 9630 + ... + 15330.

It is an arithmetic number, because the mean of its divisors is an integer number (2172462).

Almost surely, 2^71148480 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 71148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121657872).

71148480 is an abundant number, since it is smaller than the sum of its proper divisors (172167264).

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

71148480 is a wasteful number, since it uses less digits than its factorization.

71148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5734 (or 5724 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 71148480 is about 8434.9558386514. The cubic root of 71148480 is about 414.3702258936.

The spelling of 71148480 in words is "seventy-one million, one hundred forty-eight thousand, four hundred eighty".