74536 has 32 divisors (see below), whose sum is σ = 175680. Its totient is φ = 29040.

The previous prime is 74531. The next prime is 74551. The reversal of 74536 is 63547.

74536 = T₂₁ + T₂₂ + ... + T₇₆.

Its product of digits (2520) is a multiple of the sum of its prime divisors (20).

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 74536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6771 + ... + 6781.

It is an arithmetic number, because the mean of its divisors is an integer number (5490).

74536 is a Friedman number, since it can be written as 56*(7+4)^3, using all its digits and the basic arithmetic operations.

2⁷⁴⁵³⁶ 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 74536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87840).

74536 is an abundant number, since it is smaller than the sum of its proper divisors (101144).

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

74536 is a wasteful number, since it uses less digits than its factorization.

74536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 20 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 74536 is about 273.0128202118. The cubic root of 74536 is about 42.0844860210.

The spelling of 74536 in words is "seventy-four thousand, five hundred thirty-six".