72504236 has 48 divisors (see below), whose sum is σ = 149954112. Its totient is φ = 30028800.

The previous prime is 72504217. The next prime is 72504239. The reversal of 72504236 is 63240527.

It is a junction number, because it is equal to n+sod(n) for n = 72504199 and 72504208.

It is not an unprimeable number, because it can be changed into a prime (72504239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157046 + ... + 157506.

It is an arithmetic number, because the mean of its divisors is an integer number (3124044).

Almost surely, 2^72504236 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 72504236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74977056).

72504236 is an abundant number, since it is smaller than the sum of its proper divisors (77449876).

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

72504236 is a wasteful number, since it uses less digits than its factorization.

72504236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 72504236 is about 8514.9419258149. The cubic root of 72504236 is about 416.9856666091.

The spelling of 72504236 in words is "seventy-two million, five hundred four thousand, two hundred thirty-six".