71142288 has 80 divisors (see below), whose sum is σ = 212653056. Its totient is φ = 20073600.

The previous prime is 71142283. The next prime is 71142311. The reversal of 71142288 is 88224117.

It is a happy number.

It is a super-2 number, since 2×71142288² = 10122450283749888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71142283) 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, 26613 + ... + 29163.

Almost surely, 2^71142288 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 71142288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106326528).

71142288 is an abundant number, since it is smaller than the sum of its proper divisors (141510768).

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

71142288 is a wasteful number, since it uses less digits than its factorization.

71142288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 2646 counting only the distinct ones).

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

The square root of 71142288 is about 8434.5887866570. The cubic root of 71142288 is about 414.3582047660.

The spelling of 71142288 in words is "seventy-one million, one hundred forty-two thousand, two hundred eighty-eight".