72120557106500 has 48 divisors (see below), whose sum is σ = 180012910546560. Its totient is φ = 24727048149600.

The previous prime is 72120557106467. The next prime is 72120557106529. The reversal of 72120557106500 is 560175502127.

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 15 ways as a sum of consecutive naturals, for example, 10302933230 + ... + 10302940229.

It is an arithmetic number, because the mean of its divisors is an integer number (3750268969720).

Almost surely, 2^{72120557106500} is an apocalyptic number.

72120557106500 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

72120557106500 is an abundant number, since it is smaller than the sum of its proper divisors (107892353440060).

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

72120557106500 is a wasteful number, since it uses less digits than its factorization.

72120557106500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20605873485 (or 20605873473 counting only the distinct ones).

The product of its (nonzero) digits is 147000, while the sum is 41.

The spelling of 72120557106500 in words is "seventy-two trillion, one hundred twenty billion, five hundred fifty-seven million, one hundred six thousand, five hundred".