7117320 has 128 divisors (see below), whose sum is σ = 25171200. Its totient is φ = 1575936.

The previous prime is 7117303. The next prime is 7117337. The reversal of 7117320 is 237117.

It is an interprime number because it is at equal distance from previous prime (7117303) and next prime (7117337).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30966 + ... + 31194.

It is an arithmetic number, because the mean of its divisors is an integer number (196650).

Almost surely, 2^7117320 is an apocalyptic number.

7117320 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 7117320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12585600).

7117320 is an abundant number, since it is smaller than the sum of its proper divisors (18053880).

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

7117320 is a wasteful number, since it uses less digits than its factorization.

7117320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 7117320 is about 2667.8305793285. The cubic root of 7117320 is about 192.3558937226.

It can be divided in two parts, 71 and 17320, that added together give a triangular number (17391 = T₁₈₆).

The spelling of 7117320 in words is "seven million, one hundred seventeen thousand, three hundred twenty".