272006000 has 80 divisors (see below), whose sum is σ = 751707840. Its totient is φ = 93254400.

The previous prime is 272005969. The next prime is 272006011. The reversal of 272006000 is 600272.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 272006000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4286 + ... + 23714.

It is an arithmetic number, because the mean of its divisors is an integer number (9396348).

Almost surely, 2^272006000 is an apocalyptic number.

272006000 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 272006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375853920).

272006000 is an abundant number, since it is smaller than the sum of its proper divisors (479701840).

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

272006000 is a wasteful number, since it uses less digits than its factorization.

272006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19459 (or 19443 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 272006000 is about 16492.6044031863. The cubic root of 272006000 is about 647.9271243555.

Adding to 272006000 its reverse (600272), we get a palindrome (272606272).

The spelling of 272006000 in words is "two hundred seventy-two million, six thousand".