72306944 has 54 divisors (see below), whose sum is σ = 149654526. Its totient is φ = 34846720.

The previous prime is 72306943. The next prime is 72306959. The reversal of 72306944 is 44960327.

It can be written as a sum of positive squares in only one way, i.e., 44089600 + 28217344 = 6640^2 + 5312^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72306943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 871127 + ... + 871209.

Almost surely, 2^72306944 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 72306944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74827263).

72306944 is an abundant number, since it is smaller than the sum of its proper divisors (77347582).

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

72306944 is an frugal number, since it uses more digits than its factorization.

72306944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 72306944 is about 8503.3489873108. The cubic root of 72306944 is about 416.6071017430.

The spelling of 72306944 in words is "seventy-two million, three hundred six thousand, nine hundred forty-four".