7123752 has 48 divisors (see below), whose sum is σ = 19443840. Its totient is φ = 2356128.

The previous prime is 7123751. The next prime is 7123771. The reversal of 7123752 is 2573217.

It is not an unprimeable number, because it can be changed into a prime (7123751) 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 11 ways as a sum of consecutive naturals, for example, 11433 + ... + 12039.

It is an arithmetic number, because the mean of its divisors is an integer number (405080).

Almost surely, 2^7123752 is an apocalyptic number.

7123752 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 7123752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9721920).

7123752 is an abundant number, since it is smaller than the sum of its proper divisors (12320088).

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

7123752 is a wasteful number, since it uses less digits than its factorization.

7123752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 775 counting only the distinct ones).

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

The square root of 7123752 is about 2669.0357809516. The cubic root of 7123752 is about 192.4138209852.

Adding to 7123752 its reverse (2573217), we get a palindrome (9696969).

It can be divided in two parts, 71237 and 52, that added together give a square (71289 = 267²).

The spelling of 7123752 in words is "seven million, one hundred twenty-three thousand, seven hundred fifty-two".