71648 has 12 divisors (see below), whose sum is σ = 141120. Its totient is φ = 35808.

The previous prime is 71647. The next prime is 71663. The reversal of 71648 is 84617.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

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 (71647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1088 + ... + 1151.

It is an arithmetic number, because the mean of its divisors is an integer number (11760).

2⁷¹⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

71648 is a deficient number, since it is larger than the sum of its proper divisors (69472).

71648 is a wasteful number, since it uses less digits than its factorization.

71648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2241 counting only the distinct ones).

The product of its digits is 1344, while the sum is 26.

The square root of 71648 is about 267.6714403891. The cubic root of 71648 is about 41.5337703541.

The spelling of 71648 in words is "seventy-one thousand, six hundred forty-eight".