71129232 has 80 divisors (see below), whose sum is σ = 205344000. Its totient is φ = 23573376.

The previous prime is 71129231. The next prime is 71129243. The reversal of 71129232 is 23292117.

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

It is a junction number, because it is equal to n+sod(n) for n = 71129196 and 71129205.

It is not an unprimeable number, because it can be changed into a prime (71129231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98569 + ... + 99287.

It is an arithmetic number, because the mean of its divisors is an integer number (2566800).

Almost surely, 2^71129232 is an apocalyptic number.

71129232 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 71129232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102672000).

71129232 is an abundant number, since it is smaller than the sum of its proper divisors (134214768).

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

71129232 is a wasteful number, since it uses less digits than its factorization.

71129232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 953 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 71129232 is about 8433.8147952157. The cubic root of 71129232 is about 414.3328556061.

The spelling of 71129232 in words is "seventy-one million, one hundred twenty-nine thousand, two hundred thirty-two".