72162185757 has 32 divisors (see below), whose sum is σ = 100708375680. Its totient is φ = 45903325440.

The previous prime is 72162185743. The next prime is 72162185759. The reversal of 72162185757 is 75758126127.

It is not a de Polignac number, because 72162185757 - 2⁷ = 72162185629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72162185759) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3909883 + ... + 3928295.

It is an arithmetic number, because the mean of its divisors is an integer number (3147136740).

Almost surely, 2^72162185757 is an apocalyptic number.

It is an amenable number.

72162185757 is a deficient number, since it is larger than the sum of its proper divisors (28546189923).

72162185757 is a wasteful number, since it uses less digits than its factorization.

72162185757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18973.

The product of its digits is 1646400, while the sum is 51.

The spelling of 72162185757 in words is "seventy-two billion, one hundred sixty-two million, one hundred eighty-five thousand, seven hundred fifty-seven".