7528872 has 64 divisors (see below), whose sum is σ = 20664000. Its totient is φ = 2271744.

The previous prime is 7528867. The next prime is 7528879. The reversal of 7528872 is 2788257.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (62720) is a multiple of the sum of its prime factors (490).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 7528872.

It is not an unprimeable number, because it can be changed into a prime (7528879) 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, 18204 + ... + 18612.

It is an arithmetic number, because the mean of its divisors is an integer number (322875).

Almost surely, 2^7528872 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 7528872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332000).

7528872 is an abundant number, since it is smaller than the sum of its proper divisors (13135128).

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

7528872 is a wasteful number, since it uses less digits than its factorization.

7528872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 486 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 7528872 is about 2743.8790060788. The cubic root of 7528872 is about 195.9942383424.

The spelling of 7528872 in words is "seven million, five hundred twenty-eight thousand, eight hundred seventy-two".