72672201 has 16 divisors (see below), whose sum is σ = 123043200. Its totient is φ = 41526864.

The previous prime is 72672163. The next prime is 72672209. The reversal of 72672201 is 10227627.

It is not a de Polignac number, because 72672201 - 2⁶ = 72672137 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72672209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192066 + ... + 192443.

It is an arithmetic number, because the mean of its divisors is an integer number (7690200).

Almost surely, 2^72672201 is an apocalyptic number.

It is an amenable number.

72672201 is a deficient number, since it is larger than the sum of its proper divisors (50370999).

72672201 is a wasteful number, since it uses less digits than its factorization.

72672201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384525 (or 384519 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72672201 is about 8524.7991765202. The cubic root of 72672201 is about 417.3074178437.

Adding to 72672201 its reverse (10227627), we get a palindrome (82899828).

It can be divided in two parts, 726 and 72201, that added together give a palindrome (72927).

The spelling of 72672201 in words is "seventy-two million, six hundred seventy-two thousand, two hundred one".