7072800 has 144 divisors (see below), whose sum is σ = 26373312. Its totient is φ = 1612800.

The previous prime is 7072777. The next prime is 7072801. The reversal of 7072800 is 82707.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is not an unprimeable number, because it can be changed into a prime (7072801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16590 + ... + 17010.

It is an arithmetic number, because the mean of its divisors is an integer number (183148).

Almost surely, 2^7072800 is an apocalyptic number.

7072800 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 7072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13186656).

7072800 is an abundant number, since it is smaller than the sum of its proper divisors (19300512).

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

7072800 is a wasteful number, since it uses less digits than its factorization.

7072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 7072800 is about 2659.4736321310. The cubic root of 7072800 is about 191.9539820270.

The spelling of 7072800 in words is "seven million, seventy-two thousand, eight hundred".