71946 has 24 divisors (see below), whose sum is σ = 178464. Its totient is φ = 20520.

The previous prime is 71941. The next prime is 71947. The reversal of 71946 is 64917.

71946 is nontrivially palindromic in base 8.

It is not an unprimeable number, because it can be changed into a prime (71941) by changing a digit.

71946 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 11 ways as a sum of consecutive naturals, for example, 160 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (7436).

2⁷¹⁹⁴⁶ is an apocalyptic number.

71946 is an abundant number, since it is smaller than the sum of its proper divisors (106518).

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 (89232).

71946 is a wasteful number, since it uses less digits than its factorization.

71946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 583 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 71946 is about 268.2275153671. The cubic root of 71946 is about 41.5912734407.

It can be divided in two parts, 7 and 1946, that added together give a triangular number (1953 = T₆₂).

The spelling of 71946 in words is "seventy-one thousand, nine hundred forty-six".