72730944 has 168 divisors, whose sum is σ = 245193312. Its totient is φ = 20321280.

The previous prime is 72730939. The next prime is 72730951. The reversal of 72730944 is 44903727.

It is a super-2 number, since 2×72730944² = 10579580430262272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 72730899 and 72730908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81927 + ... + 82809.

It is an arithmetic number, because the mean of its divisors is an integer number (1459484).

Almost surely, 2^72730944 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 72730944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122596656).

72730944 is an abundant number, since it is smaller than the sum of its proper divisors (172462368).

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

72730944 is a wasteful number, since it uses less digits than its factorization.

72730944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 72730944 is about 8528.2438989513. The cubic root of 72730944 is about 417.4198280326.

The spelling of 72730944 in words is "seventy-two million, seven hundred thirty thousand, nine hundred forty-four".