72080001 has 24 divisors (see below), whose sum is σ = 119793024. Its totient is φ = 40910400.

The previous prime is 72079961. The next prime is 72080003. The reversal of 72080001 is 10008027.

It is not a de Polignac number, because 72080001 - 2⁹ = 72079489 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72080003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5725 + ... + 13301.

It is an arithmetic number, because the mean of its divisors is an integer number (4991376).

Almost surely, 2^72080001 is an apocalyptic number.

It is an amenable number.

72080001 is a deficient number, since it is larger than the sum of its proper divisors (47713023).

72080001 is a wasteful number, since it uses less digits than its factorization.

72080001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7741 (or 7738 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 72080001 is about 8489.9941696093. The cubic root of 72080001 is about 416.1707897866.

Adding to 72080001 its reverse (10008027), we get a palindrome (82088028).

The spelling of 72080001 in words is "seventy-two million, eighty thousand, one".