7529652 has 96 divisors (see below), whose sum is σ = 21826560. Its totient is φ = 2229120.

The previous prime is 7529617. The next prime is 7529659. The reversal of 7529652 is 2569257.

7529652 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×7529652² = 113391318482208, which contains 22 as substring.

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

It is a d-powerful number, because it can be written as 7⁸ + 5 + 2⁵ + 9⁴ + 6⁸ + 5⁷ + 2⁹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7529659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43438 + ... + 43610.

It is an arithmetic number, because the mean of its divisors is an integer number (227360).

Almost surely, 2^7529652 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 7529652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913280).

7529652 is an abundant number, since it is smaller than the sum of its proper divisors (14296908).

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

7529652 is a wasteful number, since it uses less digits than its factorization.

7529652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 7529652 is about 2744.0211369448. The cubic root of 7529652 is about 196.0010065199.

It can be divided in two parts, 752 and 9652, that added together give a square (10404 = 102²).

The spelling of 7529652 in words is "seven million, five hundred twenty-nine thousand, six hundred fifty-two".