71532144 has 60 divisors (see below), whose sum is σ = 200868096. Its totient is φ = 23763456.

The previous prime is 71532127. The next prime is 71532191. The reversal of 71532144 is 44123517.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54504 + ... + 55800.

Almost surely, 2^71532144 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 71532144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100434048).

71532144 is an abundant number, since it is smaller than the sum of its proper divisors (129335952).

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

71532144 is a wasteful number, since it uses less digits than its factorization.

71532144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1685 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 71532144 is about 8457.6677636332. The cubic root of 71532144 is about 415.1137134557.

The spelling of 71532144 in words is "seventy-one million, five hundred thirty-two thousand, one hundred forty-four".