71948 has 6 divisors (see below), whose sum is σ = 125916. Its totient is φ = 35972.

The previous prime is 71947. The next prime is 71963. The reversal of 71948 is 84917.

It is a plaindrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 71948.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 71948.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8990 + ... + 8997.

It is an arithmetic number, because the mean of its divisors is an integer number (20986).

2⁷¹⁹⁴⁸ is an apocalyptic number.

It is an amenable number.

71948 is a deficient number, since it is larger than the sum of its proper divisors (53968).

71948 is a wasteful number, since it uses less digits than its factorization.

71948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17991 (or 17989 counting only the distinct ones).

The product of its digits is 2016, while the sum is 29.

The square root of 71948 is about 268.2312435195. The cubic root of 71948 is about 41.5916588306.

It can be divided in two parts, 719 and 48, that added together give a palindrome (767).

The spelling of 71948 in words is "seventy-one thousand, nine hundred forty-eight".