71874 has 32 divisors (see below), whose sum is σ = 175680. Its totient is φ = 21780.

The previous prime is 71867. The next prime is 71879. The reversal of 71874 is 47817.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (1568) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (71879) by changing a digit.

71874 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 15 ways as a sum of consecutive naturals, for example, 6529 + ... + 6539.

It is an arithmetic number, because the mean of its divisors is an integer number (5490).

2⁷¹⁸⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87840).

71874 is an abundant number, since it is smaller than the sum of its proper divisors (103806).

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

71874 is a wasteful number, since it uses less digits than its factorization.

71874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 16 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 71874 is about 268.0932673530. The cubic root of 71874 is about 41.5773946465.

71874 divided by its sum of digits (27) gives a palindrome (2662).

It can be divided in two parts, 7 and 1874, that added together give a palindrome (1881).

The spelling of 71874 in words is "seventy-one thousand, eight hundred seventy-four".