71128800 has 288 divisors, whose sum is σ = 267170400. Its totient is φ = 18247680.

The previous prime is 71128789. The next prime is 71128801. The reversal of 71128800 is 882117.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71128801) 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 47 ways as a sum of consecutive naturals, for example, 799156 + ... + 799244.

It is an arithmetic number, because the mean of its divisors is an integer number (927675).

Almost surely, 2^71128800 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 71128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133585200).

71128800 is an abundant number, since it is smaller than the sum of its proper divisors (196041600).

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

71128800 is a wasteful number, since it uses less digits than its factorization.

71128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 71128800 is about 8433.7891839908. The cubic root of 71128800 is about 414.3320167941.

It can be divided in two parts, 711 and 28800, that multiplied together give a triangular number (20476800 = T₆₃₉₉).

The spelling of 71128800 in words is "seventy-one million, one hundred twenty-eight thousand, eight hundred".