72536448 has 64 divisors (see below), whose sum is σ = 194554800. Its totient is φ = 23943168.

The previous prime is 72536447. The next prime is 72536459. The reversal of 72536448 is 84463527.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72536447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40990 + ... + 42722.

Almost surely, 2^72536448 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 72536448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97277400).

72536448 is an abundant number, since it is smaller than the sum of its proper divisors (122018352).

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

72536448 is a wasteful number, since it uses less digits than its factorization.

72536448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1847 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 72536448 is about 8516.8332142880. The cubic root of 72536448 is about 417.0474099148.

It can be divided in two parts, 725 and 36448, that added together give a palindrome (37173).

The spelling of 72536448 in words is "seventy-two million, five hundred thirty-six thousand, four hundred forty-eight".