71344400 has 30 divisors (see below), whose sum is σ = 171405882. Its totient is φ = 28537600.

The previous prime is 71344381. The next prime is 71344451. The reversal of 71344400 is 444317.

It can be written as a sum of positive squares in 3 ways, for example, as 43264 + 71301136 = 208^2 + 8444^2 .

It is a super-2 number, since 2×71344400² = 10180046822720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88781 + ... + 89580.

Almost surely, 2^71344400 is an apocalyptic number.

It is an amenable number.

71344400 is an abundant number, since it is smaller than the sum of its proper divisors (100061482).

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

71344400 is a wasteful number, since it uses less digits than its factorization.

71344400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178379 (or 178368 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 71344400 is about 8446.5614305468. The cubic root of 71344400 is about 414.7502246923.

Adding to 71344400 its reverse (444317), we get a palindrome (71788717).

The spelling of 71344400 in words is "seventy-one million, three hundred forty-four thousand, four hundred".