7531872 has 48 divisors (see below), whose sum is σ = 20083392. Its totient is φ = 2471040.

The previous prime is 7531871. The next prime is 7531877. The reversal of 7531872 is 2781357.

7531872 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7531871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5847 + ... + 7017.

It is an arithmetic number, because the mean of its divisors is an integer number (418404).

Almost surely, 2^7531872 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 7531872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10041696).

7531872 is an abundant number, since it is smaller than the sum of its proper divisors (12551520).

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

7531872 is a wasteful number, since it uses less digits than its factorization.

7531872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1243 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 7531872 is about 2744.4256229674. The cubic root of 7531872 is about 196.0202672364.

The spelling of 7531872 in words is "seven million, five hundred thirty-one thousand, eight hundred seventy-two".