7152400 has 30 divisors (see below), whose sum is σ = 17184602. Its totient is φ = 2860800.

The previous prime is 7152391. The next prime is 7152407. The reversal of 7152400 is 42517.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 6906384 = 496^2 + 2628^2 .

It is not an unprimeable number, because it can be changed into a prime (7152407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8541 + ... + 9340.

Almost surely, 2^7152400 is an apocalyptic number.

It is an amenable number.

7152400 is an abundant number, since it is smaller than the sum of its proper divisors (10032202).

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

7152400 is a wasteful number, since it uses less digits than its factorization.

7152400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17899 (or 17888 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 7152400 is about 2674.3971283263. The cubic root of 7152400 is about 192.6714052120.

Adding to 7152400 its reverse (42517), we get a palindrome (7194917).

The spelling of 7152400 in words is "seven million, one hundred fifty-two thousand, four hundred".