72611001 has 12 divisors (see below), whose sum is σ = 105131520. Its totient is φ = 48292440.

The previous prime is 72610963. The next prime is 72611009. The reversal of 72611001 is 10011627.

It is not a de Polignac number, because 72611001 - 2¹³ = 72602809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72611009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5481 + ... + 13238.

It is an arithmetic number, because the mean of its divisors is an integer number (8760960).

Almost surely, 2^72611001 is an apocalyptic number.

It is an amenable number.

72611001 is a deficient number, since it is larger than the sum of its proper divisors (32520519).

72611001 is a wasteful number, since it uses less digits than its factorization.

72611001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19156 (or 19153 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 72611001 is about 8521.2088931090. The cubic root of 72611001 is about 417.1902415087.

Adding to 72611001 its reverse (10011627), we get a palindrome (82622628).

The spelling of 72611001 in words is "seventy-two million, six hundred eleven thousand, one".