71728200 has 192 divisors, whose sum is σ = 254448000. Its totient is φ = 18558720.

The previous prime is 71728193. The next prime is 71728207. The reversal of 71728200 is 282717.

It is an interprime number because it is at equal distance from previous prime (71728193) and next prime (71728207).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (71728207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199621 + ... + 199979.

It is an arithmetic number, because the mean of its divisors is an integer number (1325250).

Almost surely, 2^71728200 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 71728200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

71728200 is an abundant number, since it is smaller than the sum of its proper divisors (182719800).

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

71728200 is a wasteful number, since it uses less digits than its factorization.

71728200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 71728200 is about 8469.2502619771. The cubic root of 71728200 is about 415.4926167412.

The spelling of 71728200 in words is "seventy-one million, seven hundred twenty-eight thousand, two hundred".