71838480 has 160 divisors (see below), whose sum is σ = 259054848. Its totient is φ = 16128000.

The previous prime is 71838469. The next prime is 71838511. The reversal of 71838480 is 8483817.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102130 + ... + 102830.

Almost surely, 2^71838480 is an apocalyptic number.

71838480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71838480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129527424).

71838480 is an abundant number, since it is smaller than the sum of its proper divisors (187216368).

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

71838480 is a wasteful number, since it uses less digits than its factorization.

71838480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 71838480 is about 8475.7583731487. The cubic root of 71838480 is about 415.7054436035.

The spelling of 71838480 in words is "seventy-one million, eight hundred thirty-eight thousand, four hundred eighty".