71142144 has 72 divisors (see below), whose sum is σ = 200516400. Its totient is φ = 22315008.

The previous prime is 71142143. The next prime is 71142193. The reversal of 71142144 is 44124117.

It is a super-2 number, since 2×71142144² = 10122409305833472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (71142143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10332 + ... + 15780.

It is an arithmetic number, because the mean of its divisors is an integer number (2784950).

Almost surely, 2^71142144 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 71142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100258200).

71142144 is an abundant number, since it is smaller than the sum of its proper divisors (129374256).

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

71142144 is a wasteful number, since it uses less digits than its factorization.

71142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5485 (or 5471 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 71142144 is about 8434.5802503741. The cubic root of 71142144 is about 414.3579251966.

The spelling of 71142144 in words is "seventy-one million, one hundred forty-two thousand, one hundred forty-four".