7201280 has 80 divisors (see below), whose sum is σ = 18045720. Its totient is φ = 2752512.

The previous prime is 7201279. The next prime is 7201297. The reversal of 7201280 is 821027.

It can be written as a sum of positive squares in 4 ways, for example, as 5683456 + 1517824 = 2384^2 + 1232^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74192 + ... + 74288.

Almost surely, 2^7201280 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 7201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022860).

7201280 is an abundant number, since it is smaller than the sum of its proper divisors (10844440).

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

7201280 is an equidigital number, since it uses as much as digits as its factorization.

7201280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 133 counting only the distinct ones).

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

The square root of 7201280 is about 2683.5200763177. The cubic root of 7201280 is about 193.1093190802.

It can be divided in two parts, 720 and 1280, that multiplied together give a square (921600 = 960²).

The spelling of 7201280 in words is "seven million, two hundred one thousand, two hundred eighty".