7525152 has 144 divisors (see below), whose sum is σ = 23882040. Its totient is φ = 2236416.

The previous prime is 7525151. The next prime is 7525153. The reversal of 7525152 is 2515257.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7525151) and next prime (7525153).

It can be written as a sum of positive squares in 4 ways, for example, as 7420176 + 104976 = 2724^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (7525151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 141958 + ... + 142010.

Almost surely, 2^7525152 is an apocalyptic number.

7525152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7525152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11941020).

7525152 is an abundant number, since it is smaller than the sum of its proper divisors (16356888).

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

7525152 is a wasteful number, since it uses less digits than its factorization.

7525152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its digits is 3500, while the sum is 27.

The square root of 7525152 is about 2743.2010498686. The cubic root of 7525152 is about 195.9619529092.

The spelling of 7525152 in words is "seven million, five hundred twenty-five thousand, one hundred fifty-two".