72122234513 has 6 divisors (see below), whose sum is σ = 83897293266. Its totient is φ = 61819058112.

The previous prime is 72122234491. The next prime is 72122234533. The reversal of 72122234513 is 31543222127.

It can be written as a sum of positive squares in only one way, i.e., 57416306689 + 14705927824 = 239617^2 + 121268^2 .

It is not a de Polignac number, because 72122234513 - 2²⁸ = 71853799057 is a prime.

It is a super-2 number, since 2×72122234513² (a number of 23 digits) contains 22 as substring.

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 72122234513.

It is not an unprimeable number, because it can be changed into a prime (72122234533) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 735941120 + ... + 735941217.

It is an arithmetic number, because the mean of its divisors is an integer number (13982882211).

Almost surely, 2^72122234513 is an apocalyptic number.

It is an amenable number.

72122234513 is a deficient number, since it is larger than the sum of its proper divisors (11775058753).

72122234513 is a wasteful number, since it uses less digits than its factorization.

72122234513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471882351 (or 1471882344 counting only the distinct ones).

The product of its digits is 20160, while the sum is 32.

The spelling of 72122234513 in words is "seventy-two billion, one hundred twenty-two million, two hundred thirty-four thousand, five hundred thirteen".