71754 has 8 divisors (see below), whose sum is σ = 143520. Its totient is φ = 23916.

The previous prime is 71741. The next prime is 71761. The reversal of 71754 is 45717.

It is a sphenic number, since it is the product of 3 distinct primes.

71754 is an admirable number.

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71754.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5974 + ... + 5985.

It is an arithmetic number, because the mean of its divisors is an integer number (17940).

2⁷¹⁷⁵⁴ is an apocalyptic number.

71754 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (71760).

71754 is a wasteful number, since it uses less digits than its factorization.

71754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11964.

The product of its digits is 980, while the sum is 24.

The square root of 71754 is about 267.8693711494. The cubic root of 71754 is about 41.5542427111.

The spelling of 71754 in words is "seventy-one thousand, seven hundred fifty-four".