72297 has 12 divisors (see below), whose sum is σ = 108420. Its totient is φ = 46368.

The previous prime is 72287. The next prime is 72307. The reversal of 72297 is 79227.

72297 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (72287) and next prime (72307).

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 47961 = 156^2 + 219^2 .

It is not a de Polignac number, because 72297 - 2⁷ = 72169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72297.

It is not an unprimeable number, because it can be changed into a prime (72227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123 + ... + 399.

It is an arithmetic number, because the mean of its divisors is an integer number (9035).

2⁷²²⁹⁷ is an apocalyptic number.

It is an amenable number.

72297 is a deficient number, since it is larger than the sum of its proper divisors (36123).

72297 is a wasteful number, since it uses less digits than its factorization.

72297 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 309 counting only the distinct ones).

The product of its digits is 1764, while the sum is 27.

The square root of 72297 is about 268.8810145771. The cubic root of 72297 is about 41.6588002928.

It can be divided in two parts, 7 and 2297, that added together give a square (2304 = 48²).

The spelling of 72297 in words is "seventy-two thousand, two hundred ninety-seven".