72448992 has 288 divisors, whose sum is σ = 268579584. Its totient is φ = 18817920.

The previous prime is 72448969. The next prime is 72448993. The reversal of 72448992 is 29984427.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72448993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6586267 + ... + 6586277.

It is an arithmetic number, because the mean of its divisors is an integer number (932568).

Almost surely, 2^72448992 is an apocalyptic number.

72448992 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 72448992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134289792).

72448992 is an abundant number, since it is smaller than the sum of its proper divisors (196130592).

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

72448992 is an equidigital number, since it uses as much as digits as its factorization.

72448992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 23 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 72448992 is about 8511.6973630411. The cubic root of 72448992 is about 416.8797334453.

The spelling of 72448992 in words is "seventy-two million, four hundred forty-eight thousand, nine hundred ninety-two".