71750800 has 120 divisors (see below), whose sum is σ = 196505280. Its totient is φ = 24921600.

The previous prime is 71750797. The next prime is 71750831. The reversal of 71750800 is 805717.

It is a happy number.

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, 100846 + ... + 101554.

It is an arithmetic number, because the mean of its divisors is an integer number (1637544).

Almost surely, 2^71750800 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 71750800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98252640).

71750800 is an abundant number, since it is smaller than the sum of its proper divisors (124754480).

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

71750800 is a wasteful number, since it uses less digits than its factorization.

71750800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 71750800 is about 8470.5843954240. The cubic root of 71750800 is about 415.5362497293.

The spelling of 71750800 in words is "seventy-one million, seven hundred fifty thousand, eight hundred".