72653 has 8 divisors (see below), whose sum is σ = 84672. Its totient is φ = 61056.

The previous prime is 72649. The next prime is 72661. The reversal of 72653 is 35627.

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

It is a cyclic number.

It is not a de Polignac number, because 72653 - 2² = 72649 is a prime.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613) 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, 626 + ... + 732.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2⁷²⁶⁵³ is an apocalyptic number.

It is an amenable number.

72653 is a deficient number, since it is larger than the sum of its proper divisors (12019).

72653 is a wasteful number, since it uses less digits than its factorization.

72653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211.

The product of its digits is 1260, while the sum is 23.

The square root of 72653 is about 269.5422044875. The cubic root of 72653 is about 41.7270661810.

The spelling of 72653 in words is "seventy-two thousand, six hundred fifty-three".