7250400 has 216 divisors, whose sum is σ = 27420120. Its totient is φ = 1797120.

The previous prime is 7250393. The next prime is 7250401. The reversal of 7250400 is 40527.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7250401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136774 + ... + 136826.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 2^7250400 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 7250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13710060).

7250400 is an abundant number, since it is smaller than the sum of its proper divisors (20169720).

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

7250400 is a wasteful number, since it uses less digits than its factorization.

7250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 7250400 is about 2692.6566806780. The cubic root of 7250400 is about 193.5473913927.

Adding to 7250400 its reverse (40527), we get a palindrome (7290927).

The spelling of 7250400 in words is "seven million, two hundred fifty thousand, four hundred".