7132752 has 160 divisors (see below), whose sum is σ = 23808000. Its totient is φ = 2021760.

The previous prime is 7132751. The next prime is 7132781. The reversal of 7132752 is 2572317.

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 (7132751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90249 + ... + 90327.

It is an arithmetic number, because the mean of its divisors is an integer number (148800).

Almost surely, 2^7132752 is an apocalyptic number.

7132752 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 7132752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11904000).

7132752 is an abundant number, since it is smaller than the sum of its proper divisors (16675248).

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

7132752 is a wasteful number, since it uses less digits than its factorization.

7132752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 7132752 is about 2670.7212508983. The cubic root of 7132752 is about 192.4948174239.

It can be divided in two parts, 71 and 32752, that added together give a palindrome (32823).

The spelling of 7132752 in words is "seven million, one hundred thirty-two thousand, seven hundred fifty-two".