7252491600 has 240 divisors, whose sum is σ = 26169952000. Its totient is φ = 1907297280.

The previous prime is 7252491563. The next prime is 7252491679. The reversal of 7252491600 is 61942527.

7252491600 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 49 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 783801 + ... + 792999.

Almost surely, 2^7252491600 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 7252491600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13084976000).

7252491600 is an abundant number, since it is smaller than the sum of its proper divisors (18917460400).

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

7252491600 is a wasteful number, since it uses less digits than its factorization.

7252491600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9299 (or 9282 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7252491600 is about 85161.5617517669. The cubic root of 7252491600 is about 1935.6600116148.

The spelling of 7252491600 in words is "seven billion, two hundred fifty-two million, four hundred ninety-one thousand, six hundred".