272230087680 has 440 divisors, whose sum is σ = 985144329312. Its totient is φ = 71878606848.

The previous prime is 272230087667. The next prime is 272230087691. The reversal of 272230087680 is 86780032272.

272230087680 is a `hidden beast` number, since 272 + 2 + 300 + 8 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42712974 + ... + 42719346.

Almost surely, 2^272230087680 is an apocalyptic number.

272230087680 is a gapful number since it is divisible by the number (20) 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 272230087680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492572164656).

272230087680 is an abundant number, since it is smaller than the sum of its proper divisors (712914241632).

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

272230087680 is a wasteful number, since it uses less digits than its factorization.

272230087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6513 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 272230087680 in words is "two hundred seventy-two billion, two hundred thirty million, eighty-seven thousand, six hundred eighty".