42574752 has 144 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 12672000.

The previous prime is 42574751. The next prime is 42574757. The reversal of 42574752 is 25747524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (42574751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281877 + ... + 282027.

It is an arithmetic number, because the mean of its divisors is an integer number (933660).

Almost surely, 2^42574752 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 42574752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

42574752 is an abundant number, since it is smaller than the sum of its proper divisors (91872288).

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

42574752 is a wasteful number, since it uses less digits than its factorization.

42574752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 256 counting only the distinct ones).

The product of its digits is 78400, while the sum is 36.

The square root of 42574752 is about 6524.9331031053. The cubic root of 42574752 is about 349.1810840672.

It can be divided in two parts, 4257 and 4752, that added together give a palindrome (9009).

The spelling of 42574752 in words is "forty-two million, five hundred seventy-four thousand, seven hundred fifty-two".