7162000 has 40 divisors (see below), whose sum is σ = 17322552. Its totient is φ = 2864000.

The previous prime is 7161997. The next prime is 7162007. The reversal of 7162000 is 2617.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 7160976 = 32^2 + 2676^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (7162007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 210 + ... + 3790.

Almost surely, 2^7162000 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 7162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8661276).

7162000 is an abundant number, since it is smaller than the sum of its proper divisors (10160552).

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

7162000 is a wasteful number, since it uses less digits than its factorization.

7162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3604 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 7162000 is about 2676.1913235044. The cubic root of 7162000 is about 192.7575682981.

Adding to 7162000 its reverse (2617), we get a palindrome (7164617).

The spelling of 7162000 in words is "seven million, one hundred sixty-two thousand".