72122218731537 has 32 divisors (see below), whose sum is σ = 104574096506880. Its totient is φ = 43949788733760.

The previous prime is 72122218731529. The next prime is 72122218731557. The reversal of 72122218731537 is 73513781222127.

It is not a de Polignac number, because 72122218731537 - 2³ = 72122218731529 is a prime.

It is a super-2 number, since 2×72122218731537² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72122218731537.

It is not an unprimeable number, because it can be changed into a prime (72122218731557) 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, 12728337 + ... + 17500142.

It is an arithmetic number, because the mean of its divisors is an integer number (3267940515840).

Almost surely, 2^{72122218731537} is an apocalyptic number.

It is an amenable number.

72122218731537 is a deficient number, since it is larger than the sum of its proper divisors (32451877775343).

72122218731537 is a wasteful number, since it uses less digits than its factorization.

72122218731537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30229093.

The product of its digits is 1975680, while the sum is 51.

The spelling of 72122218731537 in words is "seventy-two trillion, one hundred twenty-two billion, two hundred eighteen million, seven hundred thirty-one thousand, five hundred thirty-seven".