42871752 has 288 divisors, whose sum is σ = 157684800. Its totient is φ = 10264320.

The previous prime is 42871721. The next prime is 42871757. The reversal of 42871752 is 25717824.

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

It is a nialpdrome in base 11.

It is a zygodrome in base 3 and base 11.

It is not an unprimeable number, because it can be changed into a prime (42871757) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1158678 + ... + 1158714.

Almost surely, 2^42871752 is an apocalyptic number.

42871752 is a gapful number since it is divisible by the number (42) 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 42871752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78842400).

42871752 is an abundant number, since it is smaller than the sum of its proper divisors (114813048).

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

42871752 is a wasteful number, since it uses less digits than its factorization.

42871752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 79 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 42871752 is about 6547.6524037246. The cubic root of 42871752 is about 349.9911616816.

The spelling of 42871752 in words is "forty-two million, eight hundred seventy-one thousand, seven hundred fifty-two".