7200900 has 180 divisors, whose sum is σ = 26887168. Its totient is φ = 1632960.

The previous prime is 7200899. The next prime is 7200913. The reversal of 7200900 is 90027.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 56637 + ... + 56763.

Almost surely, 2^7200900 is an apocalyptic number.

7200900 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 7200900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13443584).

7200900 is an abundant number, since it is smaller than the sum of its proper divisors (19686268).

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

7200900 is a wasteful number, since it uses less digits than its factorization.

7200900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 7200900 is about 2683.4492728576. The cubic root of 7200900 is about 193.1059223308.

Adding to 7200900 its reverse (90027), we get a palindrome (7290927).

It can be divided in two parts, 7200 and 900, that added together give a square (8100 = 90²).

The spelling of 7200900 in words is "seven million, two hundred thousand, nine hundred".