72324630 has 128 divisors (see below), whose sum is σ = 233487360. Its totient is φ = 15552000.

The previous prime is 72324607. The next prime is 72324631. The reversal of 72324630 is 3642327.

72324630 is a `hidden beast` number, since 7 + 2 + 3 + 24 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 72324594 and 72324603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72324631) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 31005 + ... + 33255.

It is an arithmetic number, because the mean of its divisors is an integer number (1824120).

Almost surely, 2^72324630 is an apocalyptic number.

72324630 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72324630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116743680).

72324630 is an abundant number, since it is smaller than the sum of its proper divisors (161162730).

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

72324630 is a wasteful number, since it uses less digits than its factorization.

72324630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 72324630 is about 8504.3888669322. The cubic root of 72324630 is about 416.6410658048.

Adding to 72324630 its reverse (3642327), we get a palindrome (75966957).

The spelling of 72324630 in words is "seventy-two million, three hundred twenty-four thousand, six hundred thirty".