7242435200 has 1152 divisors, whose sum is σ = 27251380800. Its totient is φ = 1857945600.

The previous prime is 7242435173. The next prime is 7242435209. The reversal of 7242435200 is 25342427.

It is not an unprimeable number, because it can be changed into a prime (7242435209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 381180791 + ... + 381180809.

Almost surely, 2^7242435200 is an apocalyptic number.

7242435200 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7242435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625690400).

7242435200 is an abundant number, since it is smaller than the sum of its proper divisors (20008945600).

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

7242435200 is a wasteful number, since it uses less digits than its factorization.

7242435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 29.

The square root of 7242435200 is about 85102.4982006991. The cubic root of 7242435200 is about 1934.7649272532.

Adding to 7242435200 its reverse (25342427), we get a palindrome (7267777627).

The spelling of 7242435200 in words is "seven billion, two hundred forty-two million, four hundred thirty-five thousand, two hundred".