92256 has 36 divisors (see below), whose sum is σ = 250236. Its totient is φ = 29760.

The previous prime is 92251. The next prime is 92269. The reversal of 92256 is 65229.

It is a super-2 number, since 2×92256² = 17022339072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (1080) is a multiple of the sum of its prime divisors (36).

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92251) by changing a digit.

92256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2961 + ... + 2991.

It is an arithmetic number, because the mean of its divisors is an integer number (6951).

2⁹²²⁵⁶ is an apocalyptic number.

92256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125118).

92256 is an abundant number, since it is smaller than the sum of its proper divisors (157980).

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

92256 is a wasteful number, since it uses less digits than its factorization.

92256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 36 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 92256 is about 303.7367281051. The cubic root of 92256 is about 45.1854078774.

Multiplying 92256 by its sum of digits (24), we get a square (2214144 = 1488²).

92256 divided by its sum of digits (24) gives a square (3844 = 62²).

The spelling of 92256 in words is "ninety-two thousand, two hundred fifty-six".