72324000 has 432 divisors, whose sum is σ = 305867016. Its totient is φ = 16128000.

The previous prime is 72323989. The next prime is 72324037. The reversal of 72324000 is 42327.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 66389904 = 2436^2 + 8148^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1763980 + ... + 1764020.

Almost surely, 2^72324000 is an apocalyptic number.

72324000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152933508).

72324000 is an abundant number, since it is smaller than the sum of its proper divisors (233543016).

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

72324000 is a wasteful number, since it uses less digits than its factorization.

72324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 72324000 is about 8504.3518271530. The cubic root of 72324000 is about 416.6398560527.

Adding to 72324000 its reverse (42327), we get a palindrome (72366327).

The spelling of 72324000 in words is "seventy-two million, three hundred twenty-four thousand".