71180144 has 60 divisors (see below), whose sum is σ = 161701704. Its totient is φ = 30264192.

The previous prime is 71180117. The next prime is 71180171. The reversal of 71180144 is 44108117.

It is an interprime number because it is at equal distance from previous prime (71180117) and next prime (71180171).

It is a super-2 number, since 2×71180144² = 10133225799721472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 127514 + ... + 128070.

Almost surely, 2^71180144 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 71180144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80850852).

71180144 is an abundant number, since it is smaller than the sum of its proper divisors (90521560).

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

71180144 is a wasteful number, since it uses less digits than its factorization.

71180144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

The square root of 71180144 is about 8436.8325810105. The cubic root of 71180144 is about 414.4316873748.

The spelling of 71180144 in words is "seventy-one million, one hundred eighty thousand, one hundred forty-four".