72071185775625 has 105 divisors (see below), whose sum is σ = 135039197960931. Its totient is φ = 38434909536000.

The previous prime is 72071185775591. The next prime is 72071185775629. The reversal of 72071185775625 is 52657758117027.

The square root of 72071185775625 is 8489475.

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

72071185775625 is a `hidden beast` number, since 7 + 2 + 0 + 7 + 1 + 1 + 8 + 577 + 56 + 2 + 5 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 20994549884361 + 51076635891264 = 4581981^2 + 7146792^2 .

It is not a de Polignac number, because 72071185775625 - 2¹¹ = 72071185773577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72071185775629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 5730389337 + ... + 5730401913.

Almost surely, 2^{72071185775625} is an apocalyptic number.

72071185775625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72071185775625 is the 8489475-th square number.

72071185775625 is the 4244738-th centered octagonal number.

It is an amenable number.

72071185775625 is a deficient number, since it is larger than the sum of its proper divisors (62968012185306).

72071185775625 is an frugal number, since it uses more digits than its factorization.

72071185775625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25192 (or 12585 counting only the distinct ones).

The product of its (nonzero) digits is 57624000, while the sum is 63.

The spelling of 72071185775625 in words is "seventy-two trillion, seventy-one billion, one hundred eighty-five million, seven hundred seventy-five thousand, six hundred twenty-five".