72435924 has 144 divisors (see below), whose sum is σ = 216289920. Its totient is φ = 20908800.

The previous prime is 72435917. The next prime is 72435941. The reversal of 72435924 is 42953427.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (60480) is a multiple of the sum of its prime divisors (280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 300444 + ... + 300684.

Almost surely, 2^72435924 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 72435924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108144960).

72435924 is an abundant number, since it is smaller than the sum of its proper divisors (143853996).

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

72435924 is a wasteful number, since it uses less digits than its factorization.

72435924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 280 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 72435924 is about 8510.9296789481. The cubic root of 72435924 is about 416.8546670191.

The spelling of 72435924 in words is "seventy-two million, four hundred thirty-five thousand, nine hundred twenty-four".