7532352 has 70 divisors (see below), whose sum is σ = 22343618. Its totient is φ = 2509056.

The previous prime is 7532351. The next prime is 7532381. The reversal of 7532352 is 2532357.

7532352 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 46656 = 2736^2 + 216^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7532351) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4458 + ... + 5910.

Almost surely, 2^7532352 is an apocalyptic number.

7532352 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 7532352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171809).

7532352 is an abundant number, since it is smaller than the sum of its proper divisors (14811266).

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

7532352 is a wasteful number, since it uses less digits than its factorization.

7532352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1477 (or 1458 counting only the distinct ones).

The product of its digits is 6300, while the sum is 27.

The square root of 7532352 is about 2744.5130715666. The cubic root of 7532352 is about 196.0244312180.

The spelling of 7532352 in words is "seven million, five hundred thirty-two thousand, three hundred fifty-two".