72162442543104 has 357 divisors, whose sum is σ = 216562898997613. Its totient is φ = 24034575384576.

The previous prime is 72162442543057. The next prime is 72162442543111. The reversal of 72162442543104 is 40134524426127.

The square root of 72162442543104 is 8494848.

It is a perfect power (a square), and thus also a powerful number.

72162442543104 is a `hidden beast` number, since 7 + 2 + 1 + 62 + 4 + 42 + 543 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71226037960704 + 936404582400 = 8439552^2 + 967680^2 .

It is a super-2 number, since 2×72162442543104² (a number of 29 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 72162442543104.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 58716388762 + ... + 58716389990.

Almost surely, 2^{72162442543104} is an apocalyptic number.

72162442543104 is the 8494848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72162442543104

72162442543104 is an abundant number, since it is smaller than the sum of its proper divisors (144400456454509).

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

72162442543104 is an frugal number, since it uses more digits than its factorization.

72162442543104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 72162442543104 in words is "seventy-two trillion, one hundred sixty-two billion, four hundred forty-two million, five hundred forty-three thousand, one hundred four".