72586201 has 4 divisors (see below), whose sum is σ = 72906192. Its totient is φ = 72266212.

The previous prime is 72586147. The next prime is 72586207. The reversal of 72586201 is 10268527.

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 an emirpimes, since its reverse is a distinct semiprime: 10268527 = 17 ⋅604031.

It is a cyclic number.

It is not a de Polignac number, because 72586201 - 2¹¹ = 72584153 is a prime.

It is a super-2 number, since 2×72586201² = 10537513151224802, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72586207) 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, 159655 + ... + 160108.

It is an arithmetic number, because the mean of its divisors is an integer number (18226548).

Almost surely, 2^72586201 is an apocalyptic number.

It is an amenable number.

72586201 is a deficient number, since it is larger than the sum of its proper divisors (319991).

72586201 is a wasteful number, since it uses less digits than its factorization.

72586201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319990.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 72586201 is about 8519.7535762486. The cubic root of 72586201 is about 417.1427395417.

The spelling of 72586201 in words is "seventy-two million, five hundred eighty-six thousand, two hundred one".