27003230072 has 96 divisors (see below), whose sum is σ = 63833807520. Its totient is φ = 10614240000.

The previous prime is 27003230041. The next prime is 27003230077.

27003230072 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27003230077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 783197 + ... + 816947.

It is an arithmetic number, because the mean of its divisors is an integer number (664935495).

Almost surely, 2^27003230072 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 27003230072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31916903760).

27003230072 is an abundant number, since it is smaller than the sum of its proper divisors (36830577448).

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

27003230072 is a wasteful number, since it uses less digits than its factorization.

27003230072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33941 (or 33930 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 26.

The spelling of 27003230072 in words is "twenty-seven billion, three million, two hundred thirty thousand, seventy-two".