42048072 has 160 divisors (see below), whose sum is σ = 136429920. Its totient is φ = 11957760.

The previous prime is 42048047. The next prime is 42048079. The reversal of 42048072 is 27084024.

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

It is not an unprimeable number, because it can be changed into a prime (42048079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121003 + ... + 121349.

It is an arithmetic number, because the mean of its divisors is an integer number (852687).

Almost surely, 2^42048072 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 42048072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68214960).

42048072 is an abundant number, since it is smaller than the sum of its proper divisors (94381848).

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

42048072 is a wasteful number, since it uses less digits than its factorization.

42048072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42048072 is about 6484.4484730777. The cubic root of 42048072 is about 347.7352326164.

The spelling of 42048072 in words is "forty-two million, forty-eight thousand, seventy-two".