42872544 has 192 divisors, whose sum is σ = 147329280. Its totient is φ = 11957760.

The previous prime is 42872513. The next prime is 42872567. The reversal of 42872544 is 44527824.

42872544 is a `hidden beast` number, since 42 + 8 + 72 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42872499 and 42872508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123379 + ... + 123725.

It is an arithmetic number, because the mean of its divisors is an integer number (767340).

Almost surely, 2^42872544 is an apocalyptic number.

42872544 is a gapful number since it is divisible by the number (44) 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 42872544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73664640).

42872544 is an abundant number, since it is smaller than the sum of its proper divisors (104456736).

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

42872544 is a wasteful number, since it uses less digits than its factorization.

42872544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 376 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42872544 is about 6547.7128831371. The cubic root of 42872544 is about 349.9933168792.

The spelling of 42872544 in words is "forty-two million, eight hundred seventy-two thousand, five hundred forty-four".