71641152 has 112 divisors (see below), whose sum is σ = 229819200. Its totient is φ = 21703680.

The previous prime is 71641151. The next prime is 71641169. The reversal of 71641152 is 25114617.

It is a happy number.

71641152 is a `hidden beast` number, since 7 + 1 + 641 + 15 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71641151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17124 + ... + 20892.

Almost surely, 2^71641152 is an apocalyptic number.

71641152 is a gapful number since it is divisible by the number (72) 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 71641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114909600).

71641152 is an abundant number, since it is smaller than the sum of its proper divisors (158178048).

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

71641152 is a wasteful number, since it uses less digits than its factorization.

71641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3785 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 71641152 is about 8464.1096401216. The cubic root of 71641152 is about 415.3244706841.

Adding to 71641152 its reverse (25114617), we get a palindrome (96755769).

The spelling of 71641152 in words is "seventy-one million, six hundred forty-one thousand, one hundred fifty-two".