72105138576 has 75 divisors (see below), whose sum is σ = 208721172891. Its totient is φ = 24031823904.

The previous prime is 72105138571. The next prime is 72105138583. The reversal of 72105138576 is 67583150127.

It is a happy number.

The square root of 72105138576 is 268524.

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

72105138576 is a `hidden beast` number, since 7 + 21 + 0 + 51 + 3 + 8 + 576 = 666.

It is not an unprimeable number, because it can be changed into a prime (72105138571) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9663135 + ... + 9670593.

Almost surely, 2^72105138576 is an apocalyptic number.

72105138576 is the 268524-th square number.

It is an amenable number.

72105138576 is an abundant number, since it is smaller than the sum of its proper divisors (136616034315).

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

72105138576 is an frugal number, since it uses more digits than its factorization.

72105138576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14938 (or 7464 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

It can be divided in two parts, 72105 and 138576, that added together give a square (210681 = 459²).

The spelling of 72105138576 in words is "seventy-two billion, one hundred five million, one hundred thirty-eight thousand, five hundred seventy-six".