71036800 has 96 divisors (see below), whose sum is σ = 178336800. Its totient is φ = 27955200.

The previous prime is 71036783. The next prime is 71036803. The reversal of 71036800 is 863017.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71036803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252660 + ... + 252940.

It is an arithmetic number, because the mean of its divisors is an integer number (1857675).

Almost surely, 2^71036800 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 71036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89168400).

71036800 is an abundant number, since it is smaller than the sum of its proper divisors (107300000).

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

71036800 is a wasteful number, since it uses less digits than its factorization.

71036800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 71036800 is about 8428.3331685452. Note that the first 3 decimals coincide. The cubic root of 71036800 is about 414.1533034745.

Adding to 71036800 its reverse (863017), we get a palindrome (71899817).

The spelling of 71036800 in words is "seventy-one million, thirty-six thousand, eight hundred".