71848 has 16 divisors (see below), whose sum is σ = 154080. Its totient is φ = 30768.

The previous prime is 71843. The next prime is 71849. The reversal of 71848 is 84817.

71848 = T₇₂ + T₇₃ + ... + T₉₂.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (71843) by changing a digit.

71848 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 586 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (9630).

2⁷¹⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

71848 is an abundant number, since it is smaller than the sum of its proper divisors (82232).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77040).

71848 is a wasteful number, since it uses less digits than its factorization.

71848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1292 counting only the distinct ones).

The product of its digits is 1792, while the sum is 28.

The square root of 71848 is about 268.0447723795. The cubic root of 71848 is about 41.5723805819.

It can be divided in two parts, 71 and 848, that added together give a palindrome (919).

The spelling of 71848 in words is "seventy-one thousand, eight hundred forty-eight".