71232400 has 60 divisors (see below), whose sum is σ = 175797652. Its totient is φ = 27717120.

The previous prime is 71232391. The next prime is 71232409. The reversal of 71232400 is 423217.

It is an interprime number because it is at equal distance from previous prime (71232391) and next prime (71232409).

It can be written as a sum of positive squares in 6 ways, for example, as 3268864 + 67963536 = 1808^2 + 8244^2 .

It is not an unprimeable number, because it can be changed into a prime (71232409) 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, 12394 + ... + 17206.

Almost surely, 2^71232400 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 71232400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87898826).

71232400 is an abundant number, since it is smaller than the sum of its proper divisors (104565252).

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

71232400 is a wasteful number, since it uses less digits than its factorization.

71232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4868 (or 4857 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 71232400 is about 8439.9289096532. The cubic root of 71232400 is about 414.5330791562.

Adding to 71232400 its reverse (423217), we get a palindrome (71655617).

The spelling of 71232400 in words is "seventy-one million, two hundred thirty-two thousand, four hundred".