71871888 has 80 divisors (see below), whose sum is σ = 209129472. Its totient is φ = 21072000.

The previous prime is 71871881. The next prime is 71871907. The reversal of 71871888 is 88817817.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (71871881) 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, 14173 + ... + 18563.

Almost surely, 2^71871888 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 71871888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104564736).

71871888 is an abundant number, since it is smaller than the sum of its proper divisors (137257584).

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

71871888 is a wasteful number, since it uses less digits than its factorization.

71871888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444 (or 4438 counting only the distinct ones).

The product of its digits is 200704, while the sum is 48.

The square root of 71871888 is about 8477.7289411729. The cubic root of 71871888 is about 415.7698739533.

The spelling of 71871888 in words is "seventy-one million, eight hundred seventy-one thousand, eight hundred eighty-eight".