72072064872000 has 224 divisors, whose sum is σ = 264424398800640. Its totient is φ = 19219217241600.

The previous prime is 72072064871987. The next prime is 72072064872023. The reversal of 72072064872000 is 27846027027.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 166617484 + ... + 167049483.

Almost surely, 2^{72072064872000} is an apocalyptic number.

It is an amenable number.

72072064872000 is an abundant number, since it is smaller than the sum of its proper divisors (192352333928640).

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

72072064872000 is a wasteful number, since it uses less digits than its factorization.

72072064872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333667003 (or 333666977 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 72072064872000 in words is "seventy-two trillion, seventy-two billion, sixty-four million, eight hundred seventy-two thousand".