71688132 has 48 divisors (see below), whose sum is σ = 188496000. Its totient is φ = 23556960.

The previous prime is 71688119. The next prime is 71688137. The reversal of 71688132 is 23188617.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71688137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2994 + ... + 12342.

It is an arithmetic number, because the mean of its divisors is an integer number (3927000).

Almost surely, 2^71688132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71688132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94248000).

71688132 is an abundant number, since it is smaller than the sum of its proper divisors (116807868).

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

71688132 is a wasteful number, since it uses less digits than its factorization.

71688132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9433 (or 9425 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 71688132 is about 8466.8844328950. The cubic root of 71688132 is about 415.4152363941.

The spelling of 71688132 in words is "seventy-one million, six hundred eighty-eight thousand, one hundred thirty-two".