71350400 has 96 divisors (see below), whose sum is σ = 192376080. Its totient is φ = 25932800.

The previous prime is 71350379. The next prime is 71350417. The reversal of 71350400 is 405317.

It is a happy number.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34187 + ... + 36213.

Almost surely, 2^71350400 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 71350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96188040).

71350400 is an abundant number, since it is smaller than the sum of its proper divisors (121025680).

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

71350400 is a wasteful number, since it uses less digits than its factorization.

71350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2062 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 71350400 is about 8446.9165971969. The cubic root of 71350400 is about 414.7618510736.

Adding to 71350400 its reverse (405317), we get a palindrome (71755717).

The spelling of 71350400 in words is "seventy-one million, three hundred fifty thousand, four hundred".