42372288 has 224 divisors, whose sum is σ = 148254720. Its totient is φ = 11612160.

The previous prime is 42372287. The next prime is 42372293. The reversal of 42372288 is 88227324.

42372288 is a `hidden beast` number, since 4 + 2 + 372 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

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 (42372283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374920 + ... + 375032.

Almost surely, 2^42372288 is an apocalyptic number.

42372288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42372288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74127360).

42372288 is an abundant number, since it is smaller than the sum of its proper divisors (105882432).

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

42372288 is a wasteful number, since it uses less digits than its factorization.

42372288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

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

The square root of 42372288 is about 6509.3999723477. The cubic root of 42372288 is about 348.6266947602.

The spelling of 42372288 in words is "forty-two million, three hundred seventy-two thousand, two hundred eighty-eight".