7112000 has 112 divisors (see below), whose sum is σ = 20287488. Its totient is φ = 2419200.

The previous prime is 7111997. The next prime is 7112003. The reversal of 7112000 is 2117.

It is an interprime number because it is at equal distance from previous prime (7111997) and next prime (7112003).

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7112003) 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, 55937 + ... + 56063.

Almost surely, 2^7112000 is an apocalyptic number.

7112000 is a gapful number since it is divisible by the number (70) 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 7112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10143744).

7112000 is an abundant number, since it is smaller than the sum of its proper divisors (13175488).

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

7112000 is a wasteful number, since it uses less digits than its factorization.

7112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 7112000 is about 2666.8333281253. The cubic root of 7112000 is about 192.3079548714.

Adding to 7112000 its reverse (2117), we get a palindrome (7114117).

The spelling of 7112000 in words is "seven million, one hundred twelve thousand".