72404032 has 42 divisors (see below), whose sum is σ = 147485354. Its totient is φ = 35266560.

The previous prime is 72404029. The next prime is 72404063. The reversal of 72404032 is 23040427.

It can be written as a sum of positive squares in 3 ways, for example, as 4769856 + 67634176 = 2184^2 + 8224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 72403994 and 72404012.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 107248 + ... + 107920.

Almost surely, 2^72404032 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 72404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73742677).

72404032 is an abundant number, since it is smaller than the sum of its proper divisors (75081322).

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

72404032 is an equidigital number, since it uses as much as digits as its factorization.

72404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 72404032 is about 8509.0558818238. The cubic root of 72404032 is about 416.7934806176.

Adding to 72404032 its reverse (23040427), we get a palindrome (95444459).

The spelling of 72404032 in words is "seventy-two million, four hundred four thousand, thirty-two".