7213752 has 128 divisors (see below), whose sum is σ = 24729600. Its totient is φ = 1897344.

The previous prime is 7213751. The next prime is 7213769. The reversal of 7213752 is 2573127.

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 (7213751) 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, 19473 + ... + 19839.

It is an arithmetic number, because the mean of its divisors is an integer number (193200).

Almost surely, 2^7213752 is an apocalyptic number.

7213752 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 7213752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12364800).

7213752 is an abundant number, since it is smaller than the sum of its proper divisors (17515848).

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

7213752 is a wasteful number, since it uses less digits than its factorization.

7213752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

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

The square root of 7213752 is about 2685.8428844592. The cubic root of 7213752 is about 193.2207377146.

Adding to 7213752 its reverse (2573127), we get a palindrome (9786879).

It can be divided in two parts, 72 and 13752, that added together give a cube (13824 = 24³).

The spelling of 7213752 in words is "seven million, two hundred thirteen thousand, seven hundred fifty-two".