978272 has 24 divisors (see below), whose sum is σ = 2028600. Its totient is φ = 463104.

The previous prime is 978269. The next prime is 978277. The reversal of 978272 is 272879.

It is a super-2 number, since 2×978272² = 1914032211968, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (978277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 197 + ... + 1412.

It is an arithmetic number, because the mean of its divisors is an integer number (84525).

2⁹⁷⁸²⁷² is an apocalyptic number.

It is an amenable number.

978272 is an abundant number, since it is smaller than the sum of its proper divisors (1050328).

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

978272 is a wasteful number, since it uses less digits than its factorization.

978272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1630 counting only the distinct ones).

The product of its digits is 14112, while the sum is 35.

The square root of 978272 is about 989.0763367910. The cubic root of 978272 is about 99.2704234587.

The spelling of 978272 in words is "nine hundred seventy-eight thousand, two hundred seventy-two".