74958 has 24 divisors (see below), whose sum is σ = 166824. Its totient is φ = 22320.

The previous prime is 74941. The next prime is 74959. The reversal of 74958 is 85947.

Its product of digits (10080) is a multiple of the sum of its prime factors (80).

It is a plaindrome in base 16.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2403 + ... + 2433.

It is an arithmetic number, because the mean of its divisors is an integer number (6951).

2⁷⁴⁹⁵⁸ is an apocalyptic number.

74958 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 74958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83412).

74958 is an abundant number, since it is smaller than the sum of its proper divisors (91866).

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

74958 is a wasteful number, since it uses less digits than its factorization.

74958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its digits is 10080, while the sum is 33.

The square root of 74958 is about 273.7845868562. The cubic root of 74958 is about 42.1637597570.

It can be divided in two parts, 7495 and 8, that added together give a triangular number (7503 = T₁₂₂).

The spelling of 74958 in words is "seventy-four thousand, nine hundred fifty-eight".