7128000 has 280 divisors, whose sum is σ = 28767024. Its totient is φ = 1728000.

The previous prime is 7127993. The next prime is 7128007. The reversal of 7128000 is 8217.

It is an interprime number because it is at equal distance from previous prime (7127993) and next prime (7128007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7128007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 647995 + ... + 648005.

Almost surely, 2^7128000 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 7128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14383512).

7128000 is an abundant number, since it is smaller than the sum of its proper divisors (21639024).

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

7128000 is a wasteful number, since it uses less digits than its factorization.

7128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7128000 is about 2669.8314553544. The cubic root of 7128000 is about 192.4520597997.

The spelling of 7128000 in words is "seven million, one hundred twenty-eight thousand".