7200480 has 96 divisors (see below), whose sum is σ = 25933824. Its totient is φ = 1645056.

The previous prime is 7200467. The next prime is 7200481. The reversal of 7200480 is 840027.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7200481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2289 + ... + 4431.

It is an arithmetic number, because the mean of its divisors is an integer number (270144).

Almost surely, 2^7200480 is an apocalyptic number.

7200480 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 7200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966912).

7200480 is an abundant number, since it is smaller than the sum of its proper divisors (18733344).

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

7200480 is a wasteful number, since it uses less digits than its factorization.

7200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 7200480 is about 2683.3710142282. The cubic root of 7200480 is about 193.1021678897.

The spelling of 7200480 in words is "seven million, two hundred thousand, four hundred eighty".