7248120 has 192 divisors, whose sum is σ = 26524800. Its totient is φ = 1566720.

The previous prime is 7248119. The next prime is 7248167. The reversal of 7248120 is 218427.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 7⁷ + 2¹¹ + 4¹¹ + 8⁷ + 1 + 2¹⁷ + 0 .

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, 381471 + ... + 381489.

It is an arithmetic number, because the mean of its divisors is an integer number (138150).

Almost surely, 2^7248120 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 7248120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13262400).

7248120 is an abundant number, since it is smaller than the sum of its proper divisors (19276680).

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

7248120 is a wasteful number, since it uses less digits than its factorization.

7248120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 7248120 is about 2692.2332736968. The cubic root of 7248120 is about 193.5271012792.

The spelling of 7248120 in words is "seven million, two hundred forty-eight thousand, one hundred twenty".