74928 has 40 divisors (see below), whose sum is σ = 222208. Its totient is φ = 21312.

The previous prime is 74923. The next prime is 74929. The reversal of 74928 is 82947.

74928 = 32² + 33² + ... + 63².

It is a super-2 number, since 2×74928² = 11228410368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 74895 and 74904.

It is not an unprimeable number, because it can be changed into a prime (74923) by changing a digit.

74928 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 7 ways as a sum of consecutive naturals, for example, 225 + ... + 447.

2⁷⁴⁹²⁸ 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 74928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111104).

74928 is an abundant number, since it is smaller than the sum of its proper divisors (147280).

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

74928 is a wasteful number, since it uses less digits than its factorization.

74928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

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

The square root of 74928 is about 273.7297937748. The cubic root of 74928 is about 42.1581340218.

It can be divided in two parts, 749 and 28, that added together give a palindrome (777).

The spelling of 74928 in words is "seventy-four thousand, nine hundred twenty-eight".