72384468 has 24 divisors (see below), whose sum is σ = 181889568. Its totient is φ = 22272096.

The previous prime is 72384467. The next prime is 72384517. The reversal of 72384468 is 86448327.

It is a super-2 number, since 2×72384468² = 10479022415286048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72384463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231846 + ... + 232157.

It is an arithmetic number, because the mean of its divisors is an integer number (7578732).

Almost surely, 2^72384468 is an apocalyptic number.

72384468 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

72384468 is an abundant number, since it is smaller than the sum of its proper divisors (109505100).

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

72384468 is a wasteful number, since it uses less digits than its factorization.

72384468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464023 (or 464021 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 72384468 is about 8507.9062054068. The cubic root of 72384468 is about 416.7559372103.

The spelling of 72384468 in words is "seventy-two million, three hundred eighty-four thousand, four hundred sixty-eight".