71749 has 4 divisors (see below), whose sum is σ = 72364. Its totient is φ = 71136.

The previous prime is 71741. The next prime is 71761. The reversal of 71749 is 94717.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 42849 + 28900 = 207^2 + 170^2 .

It is a cyclic number.

It is not a de Polignac number, because 71749 - 2³ = 71741 is a prime.

It is a Duffinian number.

71749 is a lucky number.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72 + ... + 385.

It is an arithmetic number, because the mean of its divisors is an integer number (18091).

2⁷¹⁷⁴⁹ is an apocalyptic number.

It is an amenable number.

71749 is a deficient number, since it is larger than the sum of its proper divisors (615).

71749 is a wasteful number, since it uses less digits than its factorization.

71749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614.

The product of its digits is 1764, while the sum is 28.

The square root of 71749 is about 267.8600380796. The cubic root of 71749 is about 41.5532774871.

It can be divided in two parts, 71 and 749, that added together give a triangular number (820 = T₄₀).

The spelling of 71749 in words is "seventy-one thousand, seven hundred forty-nine".