74520 has 80 divisors (see below), whose sum is σ = 261360. Its totient is φ = 19008.

The previous prime is 74509. The next prime is 74521. The reversal of 74520 is 2547.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 74493 and 74502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74521) by changing a digit.

74520 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 19 ways as a sum of consecutive naturals, for example, 3229 + ... + 3251.

It is an arithmetic number, because the mean of its divisors is an integer number (3267).

2⁷⁴⁵²⁰ 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 74520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130680).

74520 is an abundant number, since it is smaller than the sum of its proper divisors (186840).

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

74520 is a wasteful number, since it uses less digits than its factorization.

74520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 74520 is about 272.9835159859. The cubic root of 74520 is about 42.0814745010.

The spelling of 74520 in words is "seventy-four thousand, five hundred twenty".