7202880 has 168 divisors, whose sum is σ = 25795224. Its totient is φ = 1843200.

The previous prime is 7202869. The next prime is 7202903. The reversal of 7202880 is 882027.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 6718464 = 696^2 + 2592^2 .

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118050 + ... + 118110.

It is an arithmetic number, because the mean of its divisors is an integer number (153543).

Almost surely, 2^7202880 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 7202880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12897612).

7202880 is an abundant number, since it is smaller than the sum of its proper divisors (18592344).

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

7202880 is a wasteful number, since it uses less digits than its factorization.

7202880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 7202880 is about 2683.8181756594. The cubic root of 7202880 is about 193.1236198726.

It can be divided in two parts, 720 and 2880, that multiplied together give a square (2073600 = 1440²).

The spelling of 7202880 in words is "seven million, two hundred two thousand, eight hundred eighty".