71853132 has 48 divisors (see below), whose sum is σ = 181198080. Its totient is φ = 22029888.

The previous prime is 71853121. The next prime is 71853139. The reversal of 71853132 is 23135817.

It is a self number, because there is not a number n which added to its sum of digits gives 71853132.

It is not an unprimeable number, because it can be changed into a prime (71853139) 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, 55363 + ... + 56645.

It is an arithmetic number, because the mean of its divisors is an integer number (3774960).

Almost surely, 2^71853132 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 71853132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90599040).

71853132 is an abundant number, since it is smaller than the sum of its proper divisors (109344948).

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

71853132 is a wasteful number, since it uses less digits than its factorization.

71853132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1660 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 71853132 is about 8476.6226765145. The cubic root of 71853132 is about 415.7337037695.

Adding to 71853132 its reverse (23135817), we get a palindrome (94988949).

The spelling of 71853132 in words is "seventy-one million, eight hundred fifty-three thousand, one hundred thirty-two".