71882496 has 108 divisors (see below), whose sum is σ = 236915952. Its totient is φ = 20533248.

The previous prime is 71882441. The next prime is 71882497. The reversal of 71882496 is 69428817.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71882497) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13900 + ... + 18356.

Almost surely, 2^71882496 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 71882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118457976).

71882496 is an abundant number, since it is smaller than the sum of its proper divisors (165033456).

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

71882496 is a wasteful number, since it uses less digits than its factorization.

71882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4469 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 71882496 is about 8478.3545573419. The cubic root of 71882496 is about 415.7903282644.

The spelling of 71882496 in words is "seventy-one million, eight hundred eighty-two thousand, four hundred ninety-six".