72342288 has 80 divisors (see below), whose sum is σ = 209212800. Its totient is φ = 23932800.

The previous prime is 72342247. The next prime is 72342299. The reversal of 72342288 is 88224327.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64678 + ... + 65786.

It is an arithmetic number, because the mean of its divisors is an integer number (2615160).

Almost surely, 2^72342288 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 72342288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104606400).

72342288 is an abundant number, since it is smaller than the sum of its proper divisors (136870512).

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

72342288 is a wasteful number, since it uses less digits than its factorization.

72342288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1265 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 72342288 is about 8505.4269734094. The cubic root of 72342288 is about 416.6749705723.

The spelling of 72342288 in words is "seventy-two million, three hundred forty-two thousand, two hundred eighty-eight".