30027661272 has 384 divisors, whose sum is σ = 101559744000. Its totient is φ = 7819628544.

The previous prime is 30027661253. The next prime is 30027661331. The reversal of 30027661272 is 27216672003.

It is a happy number.

30027661272 is a `hidden beast` number, since 30 + 0 + 2 + 7 + 6 + 612 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54894903 + ... + 54895449.

It is an arithmetic number, because the mean of its divisors is an integer number (264478500).

Almost surely, 2^30027661272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30027661272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50779872000).

30027661272 is an abundant number, since it is smaller than the sum of its proper divisors (71532082728).

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

30027661272 is a wasteful number, since it uses less digits than its factorization.

30027661272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 30027661272 in words is "thirty billion, twenty-seven million, six hundred sixty-one thousand, two hundred seventy-two".