71210400 has 72 divisors (see below), whose sum is σ = 231797664. Its totient is φ = 18988800.

The previous prime is 71210393. The next prime is 71210401. The reversal of 71210400 is 401217.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 71210400.

It is not an unprimeable number, because it can be changed into a prime (71210401) 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, 12436 + ... + 17235.

It is an arithmetic number, because the mean of its divisors is an integer number (3219412).

Almost surely, 2^71210400 is an apocalyptic number.

It is an amenable number.

71210400 is an abundant number, since it is smaller than the sum of its proper divisors (160587264).

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

71210400 is a wasteful number, since it uses less digits than its factorization.

71210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29694 (or 29681 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 71210400 is about 8438.6254804915. The cubic root of 71210400 is about 414.4903988273.

Adding to 71210400 its reverse (401217), we get a palindrome (71611617).

The spelling of 71210400 in words is "seventy-one million, two hundred ten thousand, four hundred".