72601 has 4 divisors (see below), whose sum is σ = 73600. Its totient is φ = 71604.

The previous prime is 72577. The next prime is 72613. The reversal of 72601 is 10627.

72601 is an esthetic number in base 4, because in such base its adjacent digits differ by 1.

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.

It is a cyclic number.

It is not a de Polignac number, because 72601 - 2⁹ = 72089 is a prime.

It is an Ulam number.

It is a Duffinian number.

72601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (72661) 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, 381 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (18400).

2⁷²⁶⁰¹ is an apocalyptic number.

72601 is the 121-st centered decagonal number.

It is an amenable number.

72601 is a deficient number, since it is larger than the sum of its proper divisors (999).

72601 is an equidigital number, since it uses as much as digits as its factorization.

72601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 72601 is about 269.4457273738. The cubic root of 72601 is about 41.7171086876.

The spelling of 72601 in words is "seventy-two thousand, six hundred one".