72595944 has 48 divisors (see below), whose sum is σ = 199118400. Its totient is φ = 23890464.

The previous prime is 72595931. The next prime is 72595973. The reversal of 72595944 is 44959527.

72595944 is a `hidden beast` number, since 7 + 2 + 59 + 594 + 4 = 666.

It is a super-2 number, since 2×72595944² = 10540342170502272, which contains 22 as substring.

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 72595944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 694 + ... + 12069.

It is an arithmetic number, because the mean of its divisors is an integer number (4148300).

Almost surely, 2^72595944 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 72595944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99559200).

72595944 is an abundant number, since it is smaller than the sum of its proper divisors (126522456).

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

72595944 is a wasteful number, since it uses less digits than its factorization.

72595944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12854 (or 12847 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 72595944 is about 8520.3253459008. The cubic root of 72595944 is about 417.1614025926.

It can be divided in two parts, 7259 and 5944, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 72595944 in words is "seventy-two million, five hundred ninety-five thousand, nine hundred forty-four".