72409160905 has 8 divisors (see below), whose sum is σ = 87120259200. Its totient is φ = 57774484656.

The previous prime is 72409160881. The next prime is 72409160909. The reversal of 72409160905 is 50906190427.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72409160905 - 2²⁷ = 72274943177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72409160909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19103425 + ... + 19107214.

It is an arithmetic number, because the mean of its divisors is an integer number (10890032400).

Almost surely, 2^72409160905 is an apocalyptic number.

It is an amenable number.

72409160905 is a deficient number, since it is larger than the sum of its proper divisors (14711098295).

72409160905 is a wasteful number, since it uses less digits than its factorization.

72409160905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38211023.

The product of its (nonzero) digits is 136080, while the sum is 43.

It can be divided in two parts, 724091 and 60905, that added together give a square (784996 = 886²).

The spelling of 72409160905 in words is "seventy-two billion, four hundred nine million, one hundred sixty thousand, nine hundred five".