71286432 has 96 divisors (see below), whose sum is σ = 218921472. Its totient is φ = 19885824.

The previous prime is 71286427. The next prime is 71286473. The reversal of 71286432 is 23468217.

It is a tau number, because it is divible by the number of its divisors (96).

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 = 71286393 and 71286402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27663 + ... + 30129.

It is an arithmetic number, because the mean of its divisors is an integer number (2280432).

Almost surely, 2^71286432 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 71286432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109460736).

71286432 is an abundant number, since it is smaller than the sum of its proper divisors (147635040).

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

71286432 is a wasteful number, since it uses less digits than its factorization.

71286432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2530 (or 2522 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 71286432 is about 8443.1292777027. The cubic root of 71286432 is about 414.6378647618.

The spelling of 71286432 in words is "seventy-one million, two hundred eighty-six thousand, four hundred thirty-two".