272964 has 36 divisors (see below), whose sum is σ = 681296. Its totient is φ = 85008.

The previous prime is 272959. The next prime is 272971. The reversal of 272964 is 469272.

It is a happy number.

It is a d-powerful number, because it can be written as 2 + 7⁴ + 9 + 2¹³ + 6³ + 4⁹ .

Its product of digits (6048) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6327 + ... + 6369.

2²⁷²⁹⁶⁴ 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 272964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340648).

272964 is an abundant number, since it is smaller than the sum of its proper divisors (408332).

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

272964 is a wasteful number, since it uses less digits than its factorization.

272964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 71 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 272964 is about 522.4595678136. The cubic root of 272964 is about 64.8686895455.

The spelling of 272964 in words is "two hundred seventy-two thousand, nine hundred sixty-four".