7133280 has 192 divisors, whose sum is σ = 28159488. Its totient is φ = 1474560.

The previous prime is 7133257. The next prime is 7133281. The reversal of 7133280 is 823317.

7133280 = 88² + 89² + ... + 280².

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 7133280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7133281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36864 + ... + 37056.

It is an arithmetic number, because the mean of its divisors is an integer number (146664).

Almost surely, 2^7133280 is an apocalyptic number.

7133280 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 7133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14079744).

7133280 is an abundant number, since it is smaller than the sum of its proper divisors (21026208).

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

7133280 is a wasteful number, since it uses less digits than its factorization.

7133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 7133280 is about 2670.8200987712. The cubic root of 7133280 is about 192.4995670986.

Adding to 7133280 its reverse (823317), we get a palindrome (7956597).

It can be divided in two parts, 713 and 3280, that added together give a palindrome (3993).

The spelling of 7133280 in words is "seven million, one hundred thirty-three thousand, two hundred eighty".