72597 has 8 divisors (see below), whose sum is σ = 110656. Its totient is φ = 41472.

The previous prime is 72577. The next prime is 72613. The reversal of 72597 is 79527.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72597 - 2⁶ = 72533 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72547) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708 + ... + 1749.

It is an arithmetic number, because the mean of its divisors is an integer number (13832).

2⁷²⁵⁹⁷ is an apocalyptic number.

It is an amenable number.

72597 is a deficient number, since it is larger than the sum of its proper divisors (38059).

72597 is a wasteful number, since it uses less digits than its factorization.

72597 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467.

The product of its digits is 4410, while the sum is 30.

The square root of 72597 is about 269.4383046265. The cubic root of 72597 is about 41.7163425296.

Adding to 72597 its sum of digits (30), we get a palindrome (72627).

The spelling of 72597 in words is "seventy-two thousand, five hundred ninety-seven".