272982000 has 80 divisors (see below), whose sum is σ = 880113312. Its totient is φ = 72793600.

The previous prime is 272981999. The next prime is 272982043. The reversal of 272982000 is 289272.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 16749 + ... + 28748.

Almost surely, 2^272982000 is an apocalyptic number.

272982000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272982000 is an abundant number, since it is smaller than the sum of its proper divisors (607131312).

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

272982000 is a wasteful number, since it uses less digits than its factorization.

272982000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45523 (or 45507 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 272982000 is about 16522.1669281000. The cubic root of 272982000 is about 648.7011538767.

The spelling of 272982000 in words is "two hundred seventy-two million, nine hundred eighty-two thousand".