72324576 has 144 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 23587200.

The previous prime is 72324547. The next prime is 72324599. The reversal of 72324576 is 67542327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 72324576.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 552031 + ... + 552161.

It is an arithmetic number, because the mean of its divisors is an integer number (1513512).

Almost surely, 2^72324576 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 72324576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

72324576 is an abundant number, since it is smaller than the sum of its proper divisors (145621152).

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

72324576 is a wasteful number, since it uses less digits than its factorization.

72324576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 207 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72324576 is about 8504.3856921003. The cubic root of 72324576 is about 416.6409621121.

It can be divided in two parts, 72324 and 576, that added together give a square (72900 = 270²).

The spelling of 72324576 in words is "seventy-two million, three hundred twenty-four thousand, five hundred seventy-six".