7632352 has 48 divisors (see below), whose sum is σ = 18500832. Its totient is φ = 3018240.

The previous prime is 7632347. The next prime is 7632353. The reversal of 7632352 is 2532367.

It is a super-3 number, since 3×7632352³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 7632352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7632353) 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, 1602 + ... + 4222.

It is an arithmetic number, because the mean of its divisors is an integer number (385434).

Almost surely, 2^7632352 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 7632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9250416).

7632352 is an abundant number, since it is smaller than the sum of its proper divisors (10868480).

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

7632352 is a wasteful number, since it uses less digits than its factorization.

7632352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651 (or 2643 counting only the distinct ones).

The product of its digits is 7560, while the sum is 28.

The square root of 7632352 is about 2762.6711711675. The cubic root of 7632352 is about 196.8880981291. Note that the first 3 decimals are identical.

The spelling of 7632352 in words is "seven million, six hundred thirty-two thousand, three hundred fifty-two".