71888880 has 120 divisors (see below), whose sum is σ = 259282512. Its totient is φ = 16429056.

The previous prime is 71888863. The next prime is 71888881. The reversal of 71888880 is 8888817.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×71888880² = 10336022135308800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71888881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8704 + ... + 14816.

Almost surely, 2^71888880 is an apocalyptic number.

71888880 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 71888880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129641256).

71888880 is an abundant number, since it is smaller than the sum of its proper divisors (187393632).

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

71888880 is a wasteful number, since it uses less digits than its factorization.

71888880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6143 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 48.

The square root of 71888880 is about 8478.7310371305. The cubic root of 71888880 is about 415.8026369024.

It can be divided in two parts, 718 and 88880, that added together give a palindrome (89598).

The spelling of 71888880 in words is "seventy-one million, eight hundred eighty-eight thousand, eight hundred eighty".