92472 has 16 divisors (see below), whose sum is σ = 231240. Its totient is φ = 30816.

The previous prime is 92467. The next prime is 92479. The reversal of 92472 is 27429.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 3853 = 92472 / (9 + 2 + 4 + 7 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92479) by changing a digit.

92472 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 3 ways as a sum of consecutive naturals, for example, 1903 + ... + 1950.

2⁹²⁴⁷² is an apocalyptic number.

It is an amenable number.

92472 is an abundant number, since it is smaller than the sum of its proper divisors (138768).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115620).

92472 is a wasteful number, since it uses less digits than its factorization.

92472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862 (or 3858 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 92472 is about 304.0920913145. The cubic root of 92472 is about 45.2206447578.

The spelling of 92472 in words is "ninety-two thousand, four hundred seventy-two".