7252168 has 64 divisors (see below), whose sum is σ = 17320320. Its totient is φ = 2764800.

The previous prime is 7252151. The next prime is 7252169. The reversal of 7252168 is 8612527.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7252169) 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 15 ways as a sum of consecutive naturals, for example, 37480 + ... + 37672.

It is an arithmetic number, because the mean of its divisors is an integer number (270630).

Almost surely, 2^7252168 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 7252168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8660160).

7252168 is an abundant number, since it is smaller than the sum of its proper divisors (10068152).

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

7252168 is a wasteful number, since it uses less digits than its factorization.

7252168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 274 counting only the distinct ones).

The product of its digits is 6720, while the sum is 31.

The square root of 7252168 is about 2692.9849609680. The cubic root of 7252168 is about 193.5631222019.

The spelling of 7252168 in words is "seven million, two hundred fifty-two thousand, one hundred sixty-eight".