7168000 has 112 divisors (see below), whose sum is σ = 20445984. Its totient is φ = 2457600.

The previous prime is 7167991. The next prime is 7168001. The reversal of 7168000 is 8617.

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 (7168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1023997 + ... + 1024003.

Almost surely, 2^7168000 is an apocalyptic number.

7168000 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 7168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10222992).

7168000 is an abundant number, since it is smaller than the sum of its proper divisors (13277984).

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

7168000 is an frugal number, since it uses more digits than its factorization.

7168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 7168000 is about 2677.3120849090. The cubic root of 7168000 is about 192.8113811340.

The spelling of 7168000 in words is "seven million, one hundred sixty-eight thousand".