7252070400 has 624 divisors, whose sum is σ = 27707859520. Its totient is φ = 1857945600.

The previous prime is 7252070387. The next prime is 7252070417. The reversal of 7252070400 is 40702527.

7252070400 is a `hidden beast` number, since 7 + 252 + 0 + 7 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118886370 + ... + 118886430.

Almost surely, 2^7252070400 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 7252070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13853929760).

7252070400 is an abundant number, since it is smaller than the sum of its proper divisors (20455789120).

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

7252070400 is a wasteful number, since it uses less digits than its factorization.

7252070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 7252070400 is about 85159.0887691971. The cubic root of 7252070400 is about 1935.6225387101.

Adding to 7252070400 its reverse (40702527), we get a palindrome (7292772927).

The spelling of 7252070400 in words is "seven billion, two hundred fifty-two million, seventy thousand, four hundred".