71882840 has 64 divisors (see below), whose sum is σ = 169011360. Its totient is φ = 27489280.

The previous prime is 71882821. The next prime is 71882869. The reversal of 71882840 is 4828817.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 71882794 and 71882803.

It is a congruent number.

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, 86507 + ... + 87333.

Almost surely, 2^71882840 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 71882840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84505680).

71882840 is an abundant number, since it is smaller than the sum of its proper divisors (97128520).

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

71882840 is a wasteful number, since it uses less digits than its factorization.

71882840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 38.

The square root of 71882840 is about 8478.3748442729. The cubic root of 71882840 is about 415.7909915303.

The spelling of 71882840 in words is "seventy-one million, eight hundred eighty-two thousand, eight hundred forty".