7248528 has 200 divisors, whose sum is σ = 25926912. Its totient is φ = 1907712.

The previous prime is 7248517. The next prime is 7248551. The reversal of 7248528 is 8258427.

It is a happy number.

7248528 is a nontrivial binomial coefficient, being equal to C(3808, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 7248492 and 7248501.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 154201 + ... + 154247.

Almost surely, 2^7248528 is an apocalyptic number.

7248528 is the 3807-th triangular number and also the 1904-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7248528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12963456).

7248528 is an abundant number, since it is smaller than the sum of its proper divisors (18678384).

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

7248528 is a wasteful number, since it uses less digits than its factorization.

7248528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 76 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The square root of 7248528 is about 2692.3090461535. The cubic root of 7248528 is about 193.5307324542.

It can be divided in two parts, 7248 and 528, that added together give a 5-th power (7776 = 6⁵).

The spelling of 7248528 in words is "seven million, two hundred forty-eight thousand, five hundred twenty-eight".