892272 has 40 divisors (see below), whose sum is σ = 2388240. Its totient is φ = 286720.

The previous prime is 892271. The next prime is 892291. The reversal of 892272 is 272298.

It is a super-2 number, since 2×892272² = 1592298643968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (892271) 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 7 ways as a sum of consecutive naturals, for example, 1072 + ... + 1712.

It is an arithmetic number, because the mean of its divisors is an integer number (59706).

2⁸⁹²²⁷² 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 892272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194120).

892272 is an abundant number, since it is smaller than the sum of its proper divisors (1495968).

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

892272 is a wasteful number, since it uses less digits than its factorization.

892272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 892272 is about 944.6015032806. The cubic root of 892272 is about 96.2717991890.

The spelling of 892272 in words is "eight hundred ninety-two thousand, two hundred seventy-two".