74952 has 32 divisors (see below), whose sum is σ = 208800. Its totient is φ = 24912.

The previous prime is 74941. The next prime is 74959. The reversal of 74952 is 25947.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (74959) by changing a digit.

74952 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, 43 + ... + 389.

It is an arithmetic number, because the mean of its divisors is an integer number (6525).

2⁷⁴⁹⁵² is an apocalyptic number.

74952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104400).

74952 is an abundant number, since it is smaller than the sum of its proper divisors (133848).

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

74952 is a wasteful number, since it uses less digits than its factorization.

74952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 352 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 74952 is about 273.7736291172. The cubic root of 74952 is about 42.1626347300.

The spelling of 74952 in words is "seventy-four thousand, nine hundred fifty-two".