72288384 has 64 divisors (see below), whose sum is σ = 219455040. Its totient is φ = 20653056.

The previous prime is 72288383. The next prime is 72288421. The reversal of 72288384 is 48388227.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×72288384² = 10451220922662912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (72288383) 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, 10759 + ... + 16134.

It is an arithmetic number, because the mean of its divisors is an integer number (3428985).

Almost surely, 2^72288384 is an apocalyptic number.

It is an amenable number.

72288384 is an abundant number, since it is smaller than the sum of its proper divisors (147166656).

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

72288384 is a wasteful number, since it uses less digits than its factorization.

72288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26917 (or 26905 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 72288384 is about 8502.2575825483. The cubic root of 72288384 is about 416.5714533020.

The spelling of 72288384 in words is "seventy-two million, two hundred eighty-eight thousand, three hundred eighty-four".