72032748006120 has 256 divisors, whose sum is σ = 256708030464000. Its totient is φ = 15972943795200.

The previous prime is 72032748006083. The next prime is 72032748006143. The reversal of 72032748006120 is 2160084723027.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 48791976 + ... + 50246615.

It is an arithmetic number, because the mean of its divisors is an integer number (1002765744000).

Almost surely, 2^{72032748006120} is an apocalyptic number.

It is an amenable number.

72032748006120 is an abundant number, since it is smaller than the sum of its proper divisors (184675282457880).

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

72032748006120 is a wasteful number, since it uses less digits than its factorization.

72032748006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99038664 (or 99038660 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The spelling of 72032748006120 in words is "seventy-two trillion, thirty-two billion, seven hundred forty-eight million, six thousand, one hundred twenty".