72009552 has 120 divisors (see below), whose sum is σ = 205567200. Its totient is φ = 21690368.

The previous prime is 72009551. The next prime is 72009557. The reversal of 72009552 is 25590027.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72009551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 402199 + ... + 402377.

It is an arithmetic number, because the mean of its divisors is an integer number (1713060).

Almost surely, 2^72009552 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 72009552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102783600).

72009552 is an abundant number, since it is smaller than the sum of its proper divisors (133557648).

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

72009552 is a wasteful number, since it uses less digits than its factorization.

72009552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 72009552 is about 8485.8442125695. The cubic root of 72009552 is about 416.0351609827.

Adding to 72009552 its reverse (25590027), we get a palindrome (97599579).

The spelling of 72009552 in words is "seventy-two million, nine thousand, five hundred fifty-two".