71982820 has 48 divisors (see below), whose sum is σ = 186052608. Its totient is φ = 22780800.

The previous prime is 71982793. The next prime is 71982931. The reversal of 71982820 is 2828917.

It is a self number, because there is not a number n which added to its sum of digits gives 71982820.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17956 + ... + 21595.

It is an arithmetic number, because the mean of its divisors is an integer number (3876096).

Almost surely, 2^71982820 is an apocalyptic number.

71982820 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71982820 is an abundant number, since it is smaller than the sum of its proper divisors (114069788).

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

71982820 is a wasteful number, since it uses less digits than its factorization.

71982820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39580 (or 39578 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 37.

The square root of 71982820 is about 8484.2689726340. The cubic root of 71982820 is about 415.9836732374.

The spelling of 71982820 in words is "seventy-one million, nine hundred eighty-two thousand, eight hundred twenty".