71785320 has 64 divisors (see below), whose sum is σ = 219438720. Its totient is φ = 18779904.

The previous prime is 71785319. The next prime is 71785321. The reversal of 71785320 is 2358717.

It is an interprime number because it is at equal distance from previous prime (71785319) and next prime (71785321).

It is not an unprimeable number, because it can be changed into a prime (71785321) by changing a digit.

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, 717 + ... + 12003.

It is an arithmetic number, because the mean of its divisors is an integer number (3428730).

Almost surely, 2^71785320 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 71785320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109719360).

71785320 is an abundant number, since it is smaller than the sum of its proper divisors (147653400).

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

71785320 is a wasteful number, since it uses less digits than its factorization.

71785320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11354 (or 11350 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 71785320 is about 8472.6217902135. The cubic root of 71785320 is about 415.6028785407.

The spelling of 71785320 in words is "seventy-one million, seven hundred eighty-five thousand, three hundred twenty".