72146642990724 has 81 divisors (see below), whose sum is σ = 182745684586647. Its totient is φ = 23999531333328.

The previous prime is 72146642990711. The next prime is 72146642990729. The reversal of 72146642990724 is 42709924664127.

The square root of 72146642990724 is 8493918.

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

72146642990724 is a `hidden beast` number, since 7 + 21 + 466 + 42 + 9 + 90 + 7 + 24 = 666.

72146642990724 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (72146642990729) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 31546410309 + ... + 31546412595.

Almost surely, 2^{72146642990724} is an apocalyptic number.

72146642990724 is the 8493918-th square number.

It is an amenable number.

72146642990724 is an abundant number, since it is smaller than the sum of its proper divisors (110599041595923).

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

72146642990724 is an frugal number, since it uses more digits than its factorization.

72146642990724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5822 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 72146642990724 in words is "seventy-two trillion, one hundred forty-six billion, six hundred forty-two million, nine hundred ninety thousand, seven hundred twenty-four".