72005472 has 288 divisors, whose sum is σ = 271724544. Its totient is φ = 17510400.

The previous prime is 72005449. The next prime is 72005473. The reversal of 72005472 is 27450027.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72005473) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376897 + ... + 377087.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 2^72005472 is an apocalyptic number.

72005472 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72005472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135862272).

72005472 is an abundant number, since it is smaller than the sum of its proper divisors (199719072).

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

72005472 is a wasteful number, since it uses less digits than its factorization.

72005472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 72005472 is about 8485.6038088047. The cubic root of 72005472 is about 416.0273034348.

Adding to 72005472 its reverse (27450027), we get a palindrome (99455499).

The spelling of 72005472 in words is "seventy-two million, five thousand, four hundred seventy-two".