71820500 has 36 divisors (see below), whose sum is σ = 157270932. Its totient is φ = 28652400.

The previous prime is 71820499. The next prime is 71820557. The reversal of 71820500 is 502817.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2298256 + 69522244 = 1516^2 + 8338^2 .

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 189311 + ... + 189689.

It is an arithmetic number, because the mean of its divisors is an integer number (4368637).

Almost surely, 2^71820500 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 71820500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78635466).

71820500 is an abundant number, since it is smaller than the sum of its proper divisors (85450432).

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

71820500 is an equidigital number, since it uses as much as digits as its factorization.

71820500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 23.

The square root of 71820500 is about 8474.6976347242. The cubic root of 71820500 is about 415.6707592786.

The spelling of 71820500 in words is "seventy-one million, eight hundred twenty thousand, five hundred".