72162212085 has 48 divisors (see below), whose sum is σ = 132788859840. Its totient is φ = 36126881280.

The previous prime is 72162212071. The next prime is 72162212123. The reversal of 72162212085 is 58021226127.

It is a happy number.

72162212085 is a `hidden beast` number, since 7 + 2 + 1 + 622 + 1 + 20 + 8 + 5 = 666.

It is not a de Polignac number, because 72162212085 - 2⁹ = 72162211573 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165490 + ... + 414380.

It is an arithmetic number, because the mean of its divisors is an integer number (2766434580).

Almost surely, 2^72162212085 is an apocalyptic number.

It is an amenable number.

72162212085 is a deficient number, since it is larger than the sum of its proper divisors (60626647755).

72162212085 is a wasteful number, since it uses less digits than its factorization.

72162212085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249298 (or 249295 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 72162212085 in words is "seventy-two billion, one hundred sixty-two million, two hundred twelve thousand, eighty-five".