72378288 has 60 divisors (see below), whose sum is σ = 207287080. Its totient is φ = 23563008.

The previous prime is 72378283. The next prime is 72378307. The reversal of 72378288 is 88287327.

It is not an unprimeable number, because it can be changed into a prime (72378283) 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 11 ways as a sum of consecutive naturals, for example, 348 + ... + 12036.

Almost surely, 2^72378288 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 72378288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103643540).

72378288 is an abundant number, since it is smaller than the sum of its proper divisors (134908792).

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

72378288 is a wasteful number, since it uses less digits than its factorization.

72378288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11746 (or 11737 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The square root of 72378288 is about 8507.5430060623. The cubic root of 72378288 is about 416.7440763555.

The spelling of 72378288 in words is "seventy-two million, three hundred seventy-eight thousand, two hundred eighty-eight".