72424 has 16 divisors (see below), whose sum is σ = 148320. Its totient is φ = 32880.

The previous prime is 72421. The next prime is 72431. The reversal of 72424 is 42427.

It is not an unprimeable number, because it can be changed into a prime (72421) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 324 + ... + 499.

It is an arithmetic number, because the mean of its divisors is an integer number (9270).

2⁷²⁴²⁴ is an apocalyptic number.

It is an amenable number.

72424 is an abundant number, since it is smaller than the sum of its proper divisors (75896).

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 (74160).

72424 is a wasteful number, since it uses less digits than its factorization.

72424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 836 counting only the distinct ones).

The product of its digits is 448, while the sum is 19.

The square root of 72424 is about 269.1170748949. The cubic root of 72424 is about 41.6831792330.

It can be divided in two parts, 72 and 424, that added together give a triangular number (496 = T₃₁).

The spelling of 72424 in words is "seventy-two thousand, four hundred twenty-four", and thus it is an iban number.