71811432 has 96 divisors (see below), whose sum is σ = 242498880. Its totient is φ = 18650880.

The previous prime is 71811401. The next prime is 71811461. The reversal of 71811432 is 23411817.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 71811396 and 71811405.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 933 + ... + 12020.

It is an arithmetic number, because the mean of its divisors is an integer number (2526030).

Almost surely, 2^71811432 is an apocalyptic number.

71811432 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 71811432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121249440).

71811432 is an abundant number, since it is smaller than the sum of its proper divisors (170687448).

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

71811432 is a wasteful number, since it uses less digits than its factorization.

71811432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12983 (or 12976 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 71811432 is about 8474.1626134976. The cubic root of 71811432 is about 415.6532644543.

The spelling of 71811432 in words is "seventy-one million, eight hundred eleven thousand, four hundred thirty-two".