272970 has 40 divisors (see below), whose sum is σ = 736164. Its totient is φ = 72576.

The previous prime is 272959. The next prime is 272971. The reversal of 272970 is 79272.

It can be written as a sum of positive squares in 2 ways, for example, as 263169 + 9801 = 513^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (272971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 642 + ... + 978.

2²⁷²⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368082).

272970 is an abundant number, since it is smaller than the sum of its proper divisors (463194).

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

272970 is a wasteful number, since it uses less digits than its factorization.

272970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 272970 is about 522.4653098532. The cubic root of 272970 is about 64.8691648332.

The spelling of 272970 in words is "two hundred seventy-two thousand, nine hundred seventy".