72311001 has 16 divisors (see below), whose sum is σ = 110448000. Its totient is φ = 41223168.

The previous prime is 72310999. The next prime is 72311021. The reversal of 72311001 is 10011327.

It is not a de Polignac number, because 72311001 - 2¹ = 72310999 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72311021) 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, 5595 + ... + 13263.

It is an arithmetic number, because the mean of its divisors is an integer number (6903000).

Almost surely, 2^72311001 is an apocalyptic number.

It is an amenable number.

72311001 is a deficient number, since it is larger than the sum of its proper divisors (38136999).

72311001 is a wasteful number, since it uses less digits than its factorization.

72311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8128.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 72311001 is about 8503.5875370340. The cubic root of 72311001 is about 416.6148932649.

Adding to 72311001 its reverse (10011327), we get a palindrome (82322328).

The spelling of 72311001 in words is "seventy-two million, three hundred eleven thousand, one".