71428800 has 168 divisors, whose sum is σ = 244912896. Its totient is φ = 18191360.

The previous prime is 71428793. The next prime is 71428811. The reversal of 71428800 is 882417.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110077 + ... + 110723.

Almost surely, 2^71428800 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 71428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122456448).

71428800 is an abundant number, since it is smaller than the sum of its proper divisors (173484096).

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

71428800 is a wasteful number, since it uses less digits than its factorization.

71428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 71428800 is about 8451.5560697424. The cubic root of 71428800 is about 414.9137092568.

The spelling of 71428800 in words is "seventy-one million, four hundred twenty-eight thousand, eight hundred".