272670000 has 200 divisors, whose sum is σ = 900649200. Its totient is φ = 71040000.

The previous prime is 272669993. The next prime is 272670011. The reversal of 272670000 is 76272.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1829926 + ... + 1830074.

It is an arithmetic number, because the mean of its divisors is an integer number (4503246).

Almost surely, 2^272670000 is an apocalyptic number.

272670000 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 272670000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450324600).

272670000 is an abundant number, since it is smaller than the sum of its proper divisors (627979200).

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

272670000 is a wasteful number, since it uses less digits than its factorization.

272670000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 272670000 is about 16512.7223679198. The cubic root of 272670000 is about 648.4539191178.

The spelling of 272670000 in words is "two hundred seventy-two million, six hundred seventy thousand".