71960 has 32 divisors (see below), whose sum is σ = 185760. Its totient is φ = 24576.

The previous prime is 71947. The next prime is 71963. The reversal of 71960 is 6917.

It is a happy 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 (71963) by changing a digit.

71960 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 7 ways as a sum of consecutive naturals, for example, 152 + ... + 408.

It is an arithmetic number, because the mean of its divisors is an integer number (5805).

2⁷¹⁹⁶⁰ is an apocalyptic number.

71960 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92880).

71960 is an abundant number, since it is smaller than the sum of its proper divisors (113800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71960 is a wasteful number, since it uses less digits than its factorization.

71960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 71960 is about 268.2536113457. The cubic root of 71960 is about 41.5939710198.

The spelling of 71960 in words is "seventy-one thousand, nine hundred sixty".