71500800 has 396 divisors, whose sum is σ = 289363920. Its totient is φ = 15482880.

The previous prime is 71500777. The next prime is 71500817. The reversal of 71500800 is 800517.

It is a happy number.

It is a super-2 number, since 2×71500800² = 10224728801280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3763191 + ... + 3763209.

Almost surely, 2^71500800 is an apocalyptic number.

71500800 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 71500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144681960).

71500800 is an abundant number, since it is smaller than the sum of its proper divisors (217863120).

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

71500800 is a wasteful number, since it uses less digits than its factorization.

71500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 71500800 is about 8455.8145675032. The cubic root of 71500800 is about 415.0530730014.

The spelling of 71500800 in words is "seventy-one million, five hundred thousand, eight hundred".