71054800 has 60 divisors (see below), whose sum is σ = 175359436. Its totient is φ = 27648000.

The previous prime is 71054783. The next prime is 71054827. The reversal of 71054800 is 845017.

It can be written as a sum of positive squares in 6 ways, for example, as 1098304 + 69956496 = 1048^2 + 8364^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12400 + ... + 17200.

Almost surely, 2^71054800 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 71054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87679718).

71054800 is an abundant number, since it is smaller than the sum of its proper divisors (104304636).

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

71054800 is a wasteful number, since it uses less digits than its factorization.

71054800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4856 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 25.

The square root of 71054800 is about 8429.4009277054. The cubic root of 71054800 is about 414.1882812602.

Adding to 71054800 its reverse (845017), we get a palindrome (71899817).

The spelling of 71054800 in words is "seventy-one million, fifty-four thousand, eight hundred".