72406382529636 has 135 divisors (see below), whose sum is σ = 191081132334939. Its totient is φ = 23908520639232.

The previous prime is 72406382529617. The next prime is 72406382529667. The reversal of 72406382529636 is 63692528360427.

The square root of 72406382529636 is 8509194.

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

72406382529636 is a `hidden beast` number, since 7 + 2 + 40 + 6 + 3 + 8 + 2 + 529 + 63 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15173284184100 + 57233098345536 = 3895290^2 + 7565256^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 16695036460 + ... + 16695040796.

Almost surely, 2^{72406382529636} is an apocalyptic number.

72406382529636 is the 8509194-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72406382529636

72406382529636 is an abundant number, since it is smaller than the sum of its proper divisors (118674749805303).

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

72406382529636 is an frugal number, since it uses more digits than its factorization.

72406382529636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8908 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 72406382529636 in words is "seventy-two trillion, four hundred six billion, three hundred eighty-two million, five hundred twenty-nine thousand, six hundred thirty-six".