72855744 has 168 divisors, whose sum is σ = 222705168. Its totient is φ = 20889600.

The previous prime is 72855721. The next prime is 72855749. The reversal of 72855744 is 44755827.

It is a junction number, because it is equal to n+sod(n) for n = 72855696 and 72855705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72855749) 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, 721294 + ... + 721394.

It is an arithmetic number, because the mean of its divisors is an integer number (1325626).

Almost surely, 2^72855744 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 72855744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111352584).

72855744 is an abundant number, since it is smaller than the sum of its proper divisors (149849424).

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

72855744 is a wasteful number, since it uses less digits than its factorization.

72855744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 136 counting only the distinct ones).

The product of its digits is 313600, while the sum is 42.

The square root of 72855744 is about 8535.5576267752. The cubic root of 72855744 is about 417.6584436927.

The spelling of 72855744 in words is "seventy-two million, eight hundred fifty-five thousand, seven hundred forty-four".