7328000 has 72 divisors (see below), whose sum is σ = 18334680. Its totient is φ = 2918400.

The previous prime is 7327973. The next prime is 7328011. The reversal of 7328000 is 8237.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 7311616 = 128^2 + 2704^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31886 + ... + 32114.

Almost surely, 2^7328000 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 7328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167340).

7328000 is an abundant number, since it is smaller than the sum of its proper divisors (11006680).

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

7328000 is an equidigital number, since it uses as much as digits as its factorization.

7328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 7328000 is about 2707.0278905102. The cubic root of 7328000 is about 194.2354458844.

The spelling of 7328000 in words is "seven million, three hundred twenty-eight thousand".