270972 has 48 divisors (see below), whose sum is σ = 760480. Its totient is φ = 82944.

The previous prime is 270967. The next prime is 270973. The reversal of 270972 is 279072.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270973) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1308 + ... + 1500.

2²⁷⁰⁹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380240).

270972 is an abundant number, since it is smaller than the sum of its proper divisors (489508).

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

270972 is a wasteful number, since it uses less digits than its factorization.

270972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 211 counting only the distinct ones).

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

The square root of 270972 is about 520.5497094419. The cubic root of 270972 is about 64.7105074639.

Subtracting 270972 from its reverse (279072), we obtain a square (8100 = 90²).

The spelling of 270972 in words is "two hundred seventy thousand, nine hundred seventy-two".