72102017007138 has 32 divisors (see below), whose sum is σ = 150973895217600. Its totient is φ = 22925665560896.

The previous prime is 72102017007089. The next prime is 72102017007197. The reversal of 72102017007138 is 83170071020127.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72102017007096 and 72102017007105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2496247053 + ... + 2496275936.

It is an arithmetic number, because the mean of its divisors is an integer number (4717934225550).

Almost surely, 2^{72102017007138} is an apocalyptic number.

72102017007138 is an abundant number, since it is smaller than the sum of its proper divisors (78871878210462).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72102017007138 is a wasteful number, since it uses less digits than its factorization.

72102017007138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4992523106.

The product of its (nonzero) digits is 32928, while the sum is 39.

The spelling of 72102017007138 in words is "seventy-two trillion, one hundred two billion, seventeen million, seven thousand, one hundred thirty-eight".