74892 has 18 divisors (see below), whose sum is σ = 176988. Its totient is φ = 24648.

The previous prime is 74891. The next prime is 74897. The reversal of 74892 is 29847.

Its product of digits (4032) is a multiple of the sum of its prime divisors (84).

It is a plaindrome in base 16.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 74892.

It is not an unprimeable number, because it can be changed into a prime (74891) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 909 + ... + 987.

74892 is a Friedman number, since it can be written as 79^2*(8+4), using all its digits and the basic arithmetic operations.

2⁷⁴⁸⁹² is an apocalyptic number.

It is an amenable number.

74892 is an abundant number, since it is smaller than the sum of its proper divisors (102096).

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 (88494).

74892 is a wasteful number, since it uses less digits than its factorization.

74892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 84 counting only the distinct ones).

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

The square root of 74892 is about 273.6640275959. The cubic root of 74892 is about 42.1513811570.

The spelling of 74892 in words is "seventy-four thousand, eight hundred ninety-two".