72074164141 has 24 divisors (see below), whose sum is σ = 85945208760. Its totient is φ = 60246692352.

The previous prime is 72074164111. The next prime is 72074164157. The reversal of 72074164141 is 14146147027.

It can be written as a sum of positive squares in 4 ways, for example, as 113955625 + 71960208516 = 10675^2 + 268254^2 .

It is not a de Polignac number, because 72074164141 - 2¹⁷ = 72074033069 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72074164141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72074164111) 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, 205155 + ... + 431551.

It is an arithmetic number, because the mean of its divisors is an integer number (3581050365).

Almost surely, 2^72074164141 is an apocalyptic number.

It is an amenable number.

72074164141 is a deficient number, since it is larger than the sum of its proper divisors (13871044619).

72074164141 is a wasteful number, since it uses less digits than its factorization.

72074164141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226573 (or 226566 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 37.

The spelling of 72074164141 in words is "seventy-two billion, seventy-four million, one hundred sixty-four thousand, one hundred forty-one".