71827080 has 128 divisors (see below), whose sum is σ = 237928320. Its totient is φ = 17233920.

The previous prime is 71827069. The next prime is 71827097. The reversal of 71827080 is 8072817.

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, 63399 + ... + 64521.

It is an arithmetic number, because the mean of its divisors is an integer number (1858815).

Almost surely, 2^71827080 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 71827080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118964160).

71827080 is an abundant number, since it is smaller than the sum of its proper divisors (166101240).

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

71827080 is a wasteful number, since it uses less digits than its factorization.

71827080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 33.

The square root of 71827080 is about 8475.0858402732. The cubic root of 71827080 is about 415.6834531013.

Adding to 71827080 its reverse (8072817), we get a palindrome (79899897).

The spelling of 71827080 in words is "seventy-one million, eight hundred twenty-seven thousand, eighty".