72449964 has 72 divisors (see below), whose sum is σ = 199967040. Its totient is φ = 22873104.

The previous prime is 72449963. The next prime is 72449987. The reversal of 72449964 is 46994427.

It is not an unprimeable number, because it can be changed into a prime (72449963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16507 + ... + 20429.

It is an arithmetic number, because the mean of its divisors is an integer number (2777320).

Almost surely, 2^72449964 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 72449964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99983520).

72449964 is an abundant number, since it is smaller than the sum of its proper divisors (127517076).

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

72449964 is a wasteful number, since it uses less digits than its factorization.

72449964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3961 (or 3947 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 72449964 is about 8511.7544607443. The cubic root of 72449964 is about 416.8815977698.

The spelling of 72449964 in words is "seventy-two million, four hundred forty-nine thousand, nine hundred sixty-four".