74936 has 32 divisors (see below), whose sum is σ = 162000. Its totient is φ = 32256.

The previous prime is 74933. The next prime is 74941. The reversal of 74936 is 63947.

74936 = T₁₉ + T₂₀ + ... + T₇₆.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 74899 and 74908.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 74936.

It is not an unprimeable number, because it can be changed into a prime (74933) 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 7 ways as a sum of consecutive naturals, for example, 2570 + ... + 2598.

2⁷⁴⁹³⁶ is an apocalyptic number.

74936 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

74936 is an abundant number, since it is smaller than the sum of its proper divisors (87064).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81000).

74936 is a wasteful number, since it uses less digits than its factorization.

74936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its digits is 4536, while the sum is 29.

The square root of 74936 is about 273.7444063355. The cubic root of 74936 is about 42.1596343646.

The spelling of 74936 in words is "seventy-four thousand, nine hundred thirty-six".