42872160 has 48 divisors (see below), whose sum is σ = 135048816. Its totient is φ = 11432448.

The previous prime is 42872149. The next prime is 42872171. The reversal of 42872160 is 6127824.

It is an interprime number because it is at equal distance from previous prime (42872149) and next prime (42872171).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44179 + ... + 45138.

It is an arithmetic number, because the mean of its divisors is an integer number (2813517).

Almost surely, 2^42872160 is an apocalyptic number.

42872160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42872160 is an abundant number, since it is smaller than the sum of its proper divisors (92176656).

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

42872160 is a wasteful number, since it uses less digits than its factorization.

42872160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89335 (or 89327 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 42872160 is about 6547.6835598553. The cubic root of 42872160 is about 349.9922719382.

Adding to 42872160 its reverse (6127824), we get a palindrome (48999984).

The spelling of 42872160 in words is "forty-two million, eight hundred seventy-two thousand, one hundred sixty".