72423936 has 240 divisors, whose sum is σ = 239627520. Its totient is φ = 21565440.

The previous prime is 72423889. The next prime is 72423959. The reversal of 72423936 is 63932427.

It is a happy number.

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

Its product of digits (54432) is a multiple of the sum of its prime factors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 72423936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2336241 + ... + 2336271.

It is an arithmetic number, because the mean of its divisors is an integer number (998448).

Almost surely, 2^72423936 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 72423936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119813760).

72423936 is an abundant number, since it is smaller than the sum of its proper divisors (167203584).

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

72423936 is a wasteful number, since it uses less digits than its factorization.

72423936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 49 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 72423936 is about 8510.2253789192. The cubic root of 72423936 is about 416.8316695469.

The spelling of 72423936 in words is "seventy-two million, four hundred twenty-three thousand, nine hundred thirty-six".