7212800 has 162 divisors, whose sum is σ = 21670488. Its totient is φ = 2365440.

The previous prime is 7212797. The next prime is 7212833. The reversal of 7212800 is 82127.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 313589 + ... + 313611.

Almost surely, 2^7212800 is an apocalyptic number.

7212800 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 7212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835244).

7212800 is an abundant number, since it is smaller than the sum of its proper divisors (14457688).

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

7212800 is a wasteful number, since it uses less digits than its factorization.

7212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 7212800 is about 2685.6656530551. The cubic root of 7212800 is about 193.2122375501.

Adding to 7212800 its reverse (82127), we get a palindrome (7294927).

It can be divided in two parts, 72 and 12800, that multiplied together give a square (921600 = 960²).

The spelling of 7212800 in words is "seven million, two hundred twelve thousand, eight hundred".