7211952 has 120 divisors (see below), whose sum is σ = 22922640. Its totient is φ = 2096640.

The previous prime is 7211921. The next prime is 7211977. The reversal of 7211952 is 2591127.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45858 + ... + 46014.

It is an arithmetic number, because the mean of its divisors is an integer number (191022).

Almost surely, 2^7211952 is an apocalyptic number.

7211952 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 7211952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461320).

7211952 is an abundant number, since it is smaller than the sum of its proper divisors (15710688).

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

7211952 is a wasteful number, since it uses less digits than its factorization.

7211952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 7211952 is about 2685.5077732153. The cubic root of 7211952 is about 193.2046653452.

The spelling of 7211952 in words is "seven million, two hundred eleven thousand, nine hundred fifty-two".