72559344 has 180 divisors, whose sum is σ = 229271784. Its totient is φ = 19641600.

The previous prime is 72559343. The next prime is 72559369. The reversal of 72559344 is 44395527.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (151200) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72559343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2340609 + ... + 2340639.

Almost surely, 2^72559344 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 72559344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114635892).

72559344 is an abundant number, since it is smaller than the sum of its proper divisors (156712440).

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

72559344 is a wasteful number, since it uses less digits than its factorization.

72559344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 72559344 is about 8518.1772698154. The cubic root of 72559344 is about 417.0912853882.

Multiplying 72559344 by its sum of digits (39), we get a square (2829814416 = 53196²).

72559344 divided by its sum of digits (39) gives a square (1860496 = 1364²).

The spelling of 72559344 in words is "seventy-two million, five hundred fifty-nine thousand, three hundred forty-four".