42732144 has 160 divisors (see below), whose sum is σ = 151101440. Its totient is φ = 11259648.

The previous prime is 42732143. The next prime is 42732163. The reversal of 42732144 is 44123724.

It is a super-2 number, since 2×42732144² = 3652072261673472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42732143) 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, 38769 + ... + 39855.

It is an arithmetic number, because the mean of its divisors is an integer number (944384).

Almost surely, 2^42732144 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 42732144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75550720).

42732144 is an abundant number, since it is smaller than the sum of its proper divisors (108369296).

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

42732144 is a wasteful number, since it uses less digits than its factorization.

42732144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1112 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 42732144 is about 6536.9827902481. The cubic root of 42732144 is about 349.6108436575.

Adding to 42732144 its reverse (44123724), we get a palindrome (86855868).

The spelling of 42732144 in words is "forty-two million, seven hundred thirty-two thousand, one hundred forty-four".