Search a number
-
+
7296 = 27319

7296 has 32 divisors (see below), whose sum is σ = 20400. Its totient is φ = 2304.

The previous prime is 7283. The next prime is 7297. The reversal of 7296 is 6927.

It can be divided in two parts, 7 and 296, that added together give a palindrome (303).

7296 = T19 + T20 + ... + T36.

It is a tau number, because it is divible by the number of its divisors (32).

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

It is a d-powerful number, because it can be written as 7 + 94 + 29 + 63 .

It is an alternating number because its digits alternate between odd and even.

Its product of digits (756) is a multiple of the sum of its prime factors (36).

It is a plaindrome in base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 11 and base 15.

It is not an unprimeable number, because it can be changed into a prime (7297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 375 + ... + 393.

27296 is an apocalyptic number.

7296 is a gapful number since it is divisible by the number (76) 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 7296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10200).

7296 is an abundant number, since it is smaller than the sum of its proper divisors (13104).

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

7296 is a wasteful number, since it uses less digits than its factorization.

7296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 24 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 7296 is about 85.4166260163. The cubic root of 7296 is about 19.3952303434.

The spelling of 7296 in words is "seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296