71328600 has 480 divisors, whose sum is σ = 307882080. Its totient is φ = 14929920.

The previous prime is 71328599. The next prime is 71328601. The reversal of 71328600 is 682317.

It is an interprime number because it is at equal distance from previous prime (71328599) and next prime (71328601).

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 (71328601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1927782 + ... + 1927818.

It is an arithmetic number, because the mean of its divisors is an integer number (641421).

Almost surely, 2^71328600 is an apocalyptic number.

71328600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153941040).

71328600 is an abundant number, since it is smaller than the sum of its proper divisors (236553480).

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

71328600 is a wasteful number, since it uses less digits than its factorization.

71328600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 71328600 is about 8445.6260869162. The cubic root of 71328600 is about 414.7196054362.

The spelling of 71328600 in words is "seventy-one million, three hundred twenty-eight thousand, six hundred".