7652352 has 88 divisors (see below), whose sum is σ = 21223296. Its totient is φ = 2449408.

The previous prime is 7652347. The next prime is 7652357. The reversal of 7652352 is 2532567.

It is an interprime number because it is at equal distance from previous prime (7652347) and next prime (7652357).

It is a super-2 number, since 2×7652352² = 117116982263808, which contains 22 as substring.

It is a d-powerful number, because it can be written as 7² + 6⁴ + 5⁸ + 2¹⁸ + 3¹⁴ + 5⁹ + 2¹⁸ .

Its product of digits (12600) is a multiple of the sum of its prime divisors (105).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7652357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 144358 + ... + 144410.

Almost surely, 2^7652352 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 7652352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611648).

7652352 is an abundant number, since it is smaller than the sum of its proper divisors (13570944).

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

7652352 is a wasteful number, since it uses less digits than its factorization.

7652352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 7652352 is about 2766.2884882094. The cubic root of 7652352 is about 197.0599249101.

The spelling of 7652352 in words is "seven million, six hundred fifty-two thousand, three hundred fifty-two".