71418400 has 36 divisors (see below), whose sum is σ = 174352122. Its totient is φ = 28567040.

The previous prime is 71418349. The next prime is 71418407. The reversal of 71418400 is 481417.

It can be written as a sum of positive squares in 3 ways, for example, as 53406864 + 18011536 = 7308^2 + 4244^2 .

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

It is not an unprimeable number, because it can be changed into a prime (71418407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 43837 + ... + 45436.

Almost surely, 2^71418400 is an apocalyptic number.

It is an amenable number.

71418400 is an abundant number, since it is smaller than the sum of its proper divisors (102933722).

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

71418400 is a wasteful number, since it uses less digits than its factorization.

71418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89293 (or 89280 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 71418400 is about 8450.9407760320. The cubic root of 71418400 is about 414.8935711985.

Adding to 71418400 its reverse (481417), we get a palindrome (71899817).

The spelling of 71418400 in words is "seventy-one million, four hundred eighteen thousand, four hundred".