30726127872 has 180 divisors, whose sum is σ = 99949564176. Its totient is φ = 9310878720.

The previous prime is 30726127871. The next prime is 30726127903. The reversal of 30726127872 is 27872162703.

30726127872 is a `hidden beast` number, since 307 + 2 + 6 + 1 + 278 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (30726127871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 160743 + ... + 295449.

Almost surely, 2^30726127872 is an apocalyptic number.

30726127872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30726127872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49974782088).

30726127872 is an abundant number, since it is smaller than the sum of its proper divisors (69223436304).

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

30726127872 is a wasteful number, since it uses less digits than its factorization.

30726127872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134746 (or 134723 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 30726127872 in words is "thirty billion, seven hundred twenty-six million, one hundred twenty-seven thousand, eight hundred seventy-two".