72366024 has 32 divisors (see below), whose sum is σ = 181127520. Its totient is φ = 24093696.

The previous prime is 72366023. The next prime is 72366029. The reversal of 72366024 is 42066327.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72365982 and 72366000.

It is not an unprimeable number, because it can be changed into a prime (72366023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33192 + ... + 35304.

It is an arithmetic number, because the mean of its divisors is an integer number (5660235).

Almost surely, 2^72366024 is an apocalyptic number.

It is an amenable number.

72366024 is an abundant number, since it is smaller than the sum of its proper divisors (108761496).

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

72366024 is a wasteful number, since it uses less digits than its factorization.

72366024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3545 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 72366024 is about 8506.8222033848. The cubic root of 72366024 is about 416.7205368927.

The spelling of 72366024 in words is "seventy-two million, three hundred sixty-six thousand, twenty-four".