27872724672 has 280 divisors, whose sum is σ = 90321816816. Its totient is φ = 8446851072.

The previous prime is 27872724653. The next prime is 27872724679. The reversal of 27872724672 is 27642727872.

It is a super-2 number, since 2×27872724672² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (27872724679) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4512178 + ... + 4518350.

Almost surely, 2^27872724672 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 27872724672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45160908408).

27872724672 is an abundant number, since it is smaller than the sum of its proper divisors (62449092144).

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

27872724672 is a wasteful number, since it uses less digits than its factorization.

27872724672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6277 (or 6258 counting only the distinct ones).

The product of its digits is 7375872, while the sum is 54.

The spelling of 27872724672 in words is "twenty-seven billion, eight hundred seventy-two million, seven hundred twenty-four thousand, six hundred seventy-two".