71882928 has 240 divisors, whose sum is σ = 238318080. Its totient is φ = 20030976.

The previous prime is 71882927. The next prime is 71882933. The reversal of 71882928 is 82928817.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71882927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1529401 + ... + 1529447.

It is an arithmetic number, because the mean of its divisors is an integer number (992992).

Almost surely, 2^71882928 is an apocalyptic number.

71882928 is a gapful number since it is divisible by the number (78) 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 71882928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119159040).

71882928 is an abundant number, since it is smaller than the sum of its proper divisors (166435152).

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

71882928 is a wasteful number, since it uses less digits than its factorization.

71882928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 127 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The square root of 71882928 is about 8478.3800339452. The cubic root of 71882928 is about 415.7911612027.

The spelling of 71882928 in words is "seventy-one million, eight hundred eighty-two thousand, nine hundred twenty-eight".