7200468 has 144 divisors (see below), whose sum is σ = 22344000. Its totient is φ = 1995840.

The previous prime is 7200467. The next prime is 7200481. The reversal of 7200468 is 8640027.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7200467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248278 + ... + 248306.

Almost surely, 2^7200468 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 7200468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11172000).

7200468 is an abundant number, since it is smaller than the sum of its proper divisors (15143532).

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

7200468 is a wasteful number, since it uses less digits than its factorization.

7200468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7200468 is about 2683.3687782338. The cubic root of 7200468 is about 193.1020606178.

The spelling of 7200468 in words is "seven million, two hundred thousand, four hundred sixty-eight".