272871000 has 96 divisors (see below), whose sum is σ = 922334400. Its totient is φ = 72763200.

The previous prime is 272870987. The next prime is 272871013. The reversal of 272871000 is 178272.

It is an interprime number because it is at equal distance from previous prime (272870987) and next prime (272871013).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6160 + ... + 24159.

It is an arithmetic number, because the mean of its divisors is an integer number (9607650).

Almost surely, 2^272871000 is an apocalyptic number.

272871000 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 272871000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461167200).

272871000 is an abundant number, since it is smaller than the sum of its proper divisors (649463400).

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

272871000 is a wasteful number, since it uses less digits than its factorization.

272871000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30346 (or 30329 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 272871000 is about 16518.8074630102. The cubic root of 272871000 is about 648.6132169554.

The spelling of 272871000 in words is "two hundred seventy-two million, eight hundred seventy-one thousand".