2272727200072 has 64 divisors (see below), whose sum is σ = 4967839895040. Its totient is φ = 954599212800.

The previous prime is 2272727200069. The next prime is 2272727200111. The reversal of 2272727200072 is 2700027272722.

It is a super-2 number, since 2×2272727200072² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2272727199998 and 2272727200034.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254704 + ... + 2147167.

It is an arithmetic number, because the mean of its divisors is an integer number (77622498360).

Almost surely, 2^{2272727200072} is an apocalyptic number.

It is an amenable number.

2272727200072 is an abundant number, since it is smaller than the sum of its proper divisors (2695112694968).

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

2272727200072 is a wasteful number, since it uses less digits than its factorization.

2272727200072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402222 (or 2402218 counting only the distinct ones).

The product of its (nonzero) digits is 153664, while the sum is 40.

The spelling of 2272727200072 in words is "two trillion, two hundred seventy-two billion, seven hundred twenty-seven million, two hundred thousand, seventy-two".