7406112 has 96 divisors (see below), whose sum is σ = 22643712. Its totient is φ = 2075904.

The previous prime is 7406111. The next prime is 7406131. The reversal of 7406112 is 2116047.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7406111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69163 + ... + 69269.

It is an arithmetic number, because the mean of its divisors is an integer number (235872).

Almost surely, 2^7406112 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 7406112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321856).

7406112 is an abundant number, since it is smaller than the sum of its proper divisors (15237600).

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

7406112 is a wasteful number, since it uses less digits than its factorization.

7406112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

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

The square root of 7406112 is about 2721.4172778168. The cubic root of 7406112 is about 194.9231518357.

The spelling of 7406112 in words is "seven million, four hundred six thousand, one hundred twelve".