71054144 has 56 divisors (see below), whose sum is σ = 162153600. Its totient is φ = 30260736.

The previous prime is 71054141. The next prime is 71054161. The reversal of 71054144 is 44145017.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71054141) 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, 88754 + ... + 89550.

It is an arithmetic number, because the mean of its divisors is an integer number (2895600).

Almost surely, 2^71054144 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 71054144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81076800).

71054144 is an abundant number, since it is smaller than the sum of its proper divisors (91099456).

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

71054144 is a wasteful number, since it uses less digits than its factorization.

71054144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 71054144 is about 8429.3620161908. The cubic root of 71054144 is about 414.1870066180.

The spelling of 71054144 in words is "seventy-one million, fifty-four thousand, one hundred forty-four".