72236448 has 180 divisors, whose sum is σ = 227089170. Its totient is φ = 22498560.

The previous prime is 72236441. The next prime is 72236459. The reversal of 72236448 is 84463227.

72236448 is a `hidden beast` number, since 7 + 2 + 2 + 3 + 644 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61027344 + 11209104 = 7812^2 + 3348^2 .

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

It is not an unprimeable number, because it can be changed into a prime (72236441) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2330193 + ... + 2330223.

Almost surely, 2^72236448 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 72236448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113544585).

72236448 is an abundant number, since it is smaller than the sum of its proper divisors (154852722).

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

72236448 is a wasteful number, since it uses less digits than its factorization.

72236448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 65 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 72236448 is about 8499.2027861441. The cubic root of 72236448 is about 416.4716666920.

The spelling of 72236448 in words is "seventy-two million, two hundred thirty-six thousand, four hundred forty-eight".