72048960 has 224 divisors, whose sum is σ = 263347200. Its totient is φ = 18524160.

The previous prime is 72048947. The next prime is 72048961. The reversal of 72048960 is 6984027.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72048961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267706 + ... + 267974.

Almost surely, 2^72048960 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 72048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131673600).

72048960 is an abundant number, since it is smaller than the sum of its proper divisors (191298240).

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

72048960 is a wasteful number, since it uses less digits than its factorization.

72048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72048960 is about 8488.1658796232. The cubic root of 72048960 is about 416.1110403777. Note that the first 3 decimals are identical.

The spelling of 72048960 in words is "seventy-two million, forty-eight thousand, nine hundred sixty".