71448 has 32 divisors (see below), whose sum is σ = 193200. Its totient is φ = 21888.

The previous prime is 71443. The next prime is 71453. The reversal of 71448 is 84417.

It is an interprime number because it is at equal distance from previous prime (71443) and next prime (71453).

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71448.

It is not an unprimeable number, because it can be changed into a prime (71443) by changing a digit.

71448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 426.

2⁷¹⁴⁴⁸ is an apocalyptic number.

71448 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96600).

71448 is an abundant number, since it is smaller than the sum of its proper divisors (121752).

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

71448 is a wasteful number, since it uses less digits than its factorization.

71448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

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

The square root of 71448 is about 267.2975869700. The cubic root of 71448 is about 41.4950882076.

The spelling of 71448 in words is "seventy-one thousand, four hundred forty-eight".