74970 has 72 divisors (see below), whose sum is σ = 240084. Its totient is φ = 16128.

The previous prime is 74959. The next prime is 75011. The reversal of 74970 is 7947.

It can be written as a sum of positive squares in 2 ways, for example, as 74529 + 441 = 273^2 + 21^2 .

It is an unprimeable number.

74970 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 35 ways as a sum of consecutive naturals, for example, 4402 + ... + 4418.

2⁷⁴⁹⁷⁰ is an apocalyptic number.

74970 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120042).

74970 is an abundant number, since it is smaller than the sum of its proper divisors (165114).

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

74970 is a wasteful number, since it uses less digits than its factorization.

74970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 74970 is about 273.8065010185. The cubic root of 74970 is about 42.1660096308.

The spelling of 74970 in words is "seventy-four thousand, nine hundred seventy".