72080406 has 24 divisors (see below), whose sum is σ = 158736864. Its totient is φ = 23632560.

The previous prime is 72080401. The next prime is 72080429. The reversal of 72080406 is 60408027.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72080406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72080401) 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 11 ways as a sum of consecutive naturals, for example, 31726 + ... + 33921.

It is an arithmetic number, because the mean of its divisors is an integer number (6614036).

Almost surely, 2^72080406 is an apocalyptic number.

72080406 is an abundant number, since it is smaller than the sum of its proper divisors (86656458).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72080406 is a wasteful number, since it uses less digits than its factorization.

72080406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65716 (or 65713 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72080406 is about 8490.0180211823. The cubic root of 72080406 is about 416.1715692393.

The spelling of 72080406 in words is "seventy-two million, eighty thousand, four hundred six".