72272160405 has 24 divisors (see below), whose sum is σ = 125399259648. Its totient is φ = 38505916896.

The previous prime is 72272160353. The next prime is 72272160439. The reversal of 72272160405 is 50406127227.

It is a happy number.

72272160405 is a `hidden beast` number, since 7 + 2 + 27 + 21 + 604 + 0 + 5 = 666.

It is not a de Polignac number, because 72272160405 - 2¹⁹ = 72271636117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72272160405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772677 + ... + 861146.

It is an arithmetic number, because the mean of its divisors is an integer number (5224969152).

Almost surely, 2^72272160405 is an apocalyptic number.

It is an amenable number.

72272160405 is a deficient number, since it is larger than the sum of its proper divisors (53127099243).

72272160405 is a wasteful number, since it uses less digits than its factorization.

72272160405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634817 (or 1634814 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

It can be divided in two parts, 722721 and 60405, that added together give a triangular number (783126 = T₁₂₅₁).

The spelling of 72272160405 in words is "seventy-two billion, two hundred seventy-two million, one hundred sixty thousand, four hundred five".