71438400 has 378 divisors, whose sum is σ = 285897066. Its totient is φ = 16896000.

The previous prime is 71438399. The next prime is 71438401. The reversal of 71438400 is 483417.

It is an interprime number because it is at equal distance from previous prime (71438399) and next prime (71438401).

It can be written as a sum of positive squares in 3 ways, for example, as 69696 + 71368704 = 264^2 + 8448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71438401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1742380 + ... + 1742420.

Almost surely, 2^71438400 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 71438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142948533).

71438400 is an abundant number, since it is smaller than the sum of its proper divisors (214458666).

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

71438400 is a wasteful number, since it uses less digits than its factorization.

71438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 71438400 is about 8452.1239934114. The cubic root of 71438400 is about 414.9322964988.

The spelling of 71438400 in words is "seventy-one million, four hundred thirty-eight thousand, four hundred".