71949 has 8 divisors (see below), whose sum is σ = 99360. Its totient is φ = 46256.

The previous prime is 71947. The next prime is 71963. The reversal of 71949 is 94917.

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

It is a cyclic number.

It is not a de Polignac number, because 71949 - 2¹ = 71947 is a prime.

71949 is a lucky number.

It is a plaindrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71941) 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, 327 + ... + 500.

It is an arithmetic number, because the mean of its divisors is an integer number (12420).

2⁷¹⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

71949 is a deficient number, since it is larger than the sum of its proper divisors (27411).

71949 is a wasteful number, since it uses less digits than its factorization.

71949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859.

The product of its digits is 2268, while the sum is 30.

The square root of 71949 is about 268.2331075762. The cubic root of 71949 is about 41.5918515228.

It can be divided in two parts, 7194 and 9, that multiplied together give a palindrome (64746).

The spelling of 71949 in words is "seventy-one thousand, nine hundred forty-nine".