7252214400 has 288 divisors, whose sum is σ = 26715611520. Its totient is φ = 1871308800.

The previous prime is 7252214383. The next prime is 7252214413. The reversal of 7252214400 is 44122527.

7252214400 is a `hidden beast` number, since 7 + 252 + 2 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7252214400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 888739 + ... + 896861.

It is an arithmetic number, because the mean of its divisors is an integer number (92762540).

Almost surely, 2^7252214400 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 7252214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13357805760).

7252214400 is an abundant number, since it is smaller than the sum of its proper divisors (19463397120).

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

7252214400 is a wasteful number, since it uses less digits than its factorization.

7252214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8184 (or 8164 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 7252214400 is about 85159.9342414025. The cubic root of 7252214400 is about 1935.6353501228.

Adding to 7252214400 its reverse (44122527), we get a palindrome (7296336927).

The spelling of 7252214400 in words is "seven billion, two hundred fifty-two million, two hundred fourteen thousand, four hundred".