7262112 has 144 divisors (see below), whose sum is σ = 23411808. Its totient is φ = 1943040.

The previous prime is 7262081. The next prime is 7262117. The reversal of 7262112 is 2112627.

It is not an unprimeable number, because it can be changed into a prime (7262117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315733 + ... + 315755.

It is an arithmetic number, because the mean of its divisors is an integer number (162582).

Almost surely, 2^7262112 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 7262112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705904).

7262112 is an abundant number, since it is smaller than the sum of its proper divisors (16149696).

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

7262112 is a wasteful number, since it uses less digits than its factorization.

7262112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 7262112 is about 2694.8306069213. The cubic root of 7262112 is about 193.6515515109.

Adding to 7262112 its reverse (2112627), we get a palindrome (9374739).

The spelling of 7262112 in words is "seven million, two hundred sixty-two thousand, one hundred twelve".