74100 has 72 divisors (see below), whose sum is σ = 243040. Its totient is φ = 17280.

The previous prime is 74099. The next prime is 74101. The reversal of 74100 is 147.

It is an interprime number because it is at equal distance from previous prime (74099) and next prime (74101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3891 + ... + 3909.

2⁷⁴¹⁰⁰ 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 74100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121520).

74100 is an abundant number, since it is smaller than the sum of its proper divisors (168940).

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

74100 is a wasteful number, since it uses less digits than its factorization.

74100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 74100 is about 272.2131517763. The cubic root of 74100 is about 42.0022674513.

Subtracting from 74100 its sum of digits (12), we obtain a cube (74088 = 42³).

Adding to 74100 its reverse (147), we get a palindrome (74247).

The spelling of 74100 in words is "seventy-four thousand, one hundred", and thus it is an iban number.