273972 has 36 divisors (see below), whose sum is σ = 687680. Its totient is φ = 84864.

The previous prime is 273971. The next prime is 273979. The reversal of 273972 is 279372.

It is a d-powerful number, because it can be written as 2¹³ + 7⁵ + 9 + 3⁵ + 7⁶ + 2¹⁷ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 273972.

It is not an unprimeable number, because it can be changed into a prime (273971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3429 + ... + 3507.

2²⁷³⁹⁷² 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 273972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343840).

273972 is an abundant number, since it is smaller than the sum of its proper divisors (413708).

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

273972 is a wasteful number, since it uses less digits than its factorization.

273972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its digits is 5292, while the sum is 30.

The square root of 273972 is about 523.4233468236. The cubic root of 273972 is about 64.9484403748.

It can be divided in two parts, 273 and 972, that multiplied together give a triangular number (265356 = T₇₂₈).

The spelling of 273972 in words is "two hundred seventy-three thousand, nine hundred seventy-two".