71148 has 54 divisors (see below), whose sum is σ = 212268. Its totient is φ = 18480.

The previous prime is 71147. The next prime is 71153. The reversal of 71148 is 84117.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71148.

It is not an unprimeable number, because it can be changed into a prime (71143) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6463 + ... + 6473.

2⁷¹¹⁴⁸ 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 71148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106134).

71148 is an abundant number, since it is smaller than the sum of its proper divisors (141120).

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

71148 is a wasteful number, since it uses less digits than its factorization.

71148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 23 counting only the distinct ones).

The product of its digits is 224, while the sum is 21.

The square root of 71148 is about 266.7358243656. The cubic root of 71148 is about 41.4369294048.

The spelling of 71148 in words is "seventy-one thousand, one hundred forty-eight".