72697 has 4 divisors (see below), whose sum is σ = 73360. Its totient is φ = 72036.

The previous prime is 72689. The next prime is 72701. The reversal of 72697 is 79627.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 72697 - 2³ = 72689 is a prime.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 72697.

It is not an unprimeable number, because it can be changed into a prime (72617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 123 + ... + 400.

It is an arithmetic number, because the mean of its divisors is an integer number (18340).

2⁷²⁶⁹⁷ is an apocalyptic number.

It is an amenable number.

72697 is a deficient number, since it is larger than the sum of its proper divisors (663).

72697 is a wasteful number, since it uses less digits than its factorization.

72697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662.

The product of its digits is 5292, while the sum is 31.

The square root of 72697 is about 269.6238120048. The cubic root of 72697 is about 41.7354880420.

It can be divided in two parts, 7 and 2697, that added together give a square (2704 = 52²).

The spelling of 72697 in words is "seventy-two thousand, six hundred ninety-seven".