71740 has 24 divisors (see below), whose sum is σ = 160272. Its totient is φ = 26880.

The previous prime is 71719. The next prime is 71741. The reversal of 71740 is 4717.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71741) by changing a digit.

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, 235 + ... + 445.

It is an arithmetic number, because the mean of its divisors is an integer number (6678).

2⁷¹⁷⁴⁰ 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 71740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80136).

71740 is an abundant number, since it is smaller than the sum of its proper divisors (88532).

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

71740 is a wasteful number, since it uses less digits than its factorization.

71740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 19.

The square root of 71740 is about 267.8432377343. The cubic root of 71740 is about 41.5515399710.

It can be divided in two parts, 717 and 40, that multiplied together give a triangular number (28680 = T₂₃₉).

The spelling of 71740 in words is "seventy-one thousand, seven hundred forty", and thus it is an iban number.