72000090000028 has 72 divisors (see below), whose sum is σ = 130488418894176. Its totient is φ = 34760508577920.

The previous prime is 72000089999993. The next prime is 72000090000053. The reversal of 72000090000028 is 82000009000027.

72000090000028 is a nontrivial binomial coefficient, being equal to C(12000008, 2).

It is a junction number, because it is equal to n+sod(n) for n = 72000089999960 and 72000090000005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5765997601 + ... + 5766010087.

It is an arithmetic number, because the mean of its divisors is an integer number (1812339151308).

Almost surely, 2^{72000090000028} is an apocalyptic number.

72000090000028 is the 12000007-th triangular number and also the 6000004-th hexagonal number.

72000090000028 is the 4000003-rd centered nonagonal number.

It is an amenable number.

72000090000028 is a deficient number, since it is larger than the sum of its proper divisors (58488328894148).

72000090000028 is a wasteful number, since it uses less digits than its factorization.

72000090000028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15803 (or 15770 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 72000090000028 in words is "seventy-two trillion, ninety million, twenty-eight", and thus it is an aban number and an uban number.