42073152 has 84 divisors (see below), whose sum is σ = 122425968. Its totient is φ = 12742400.

The previous prime is 42073133. The next prime is 42073153. The reversal of 42073152 is 25137024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42073153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22327 + ... + 24137.

It is an arithmetic number, because the mean of its divisors is an integer number (1457452).

Almost surely, 2^42073152 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 42073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61212984).

42073152 is an abundant number, since it is smaller than the sum of its proper divisors (80352816).

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

42073152 is a wasteful number, since it uses less digits than its factorization.

42073152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 42073152 is about 6486.3820424024. The cubic root of 42073152 is about 347.8043556133.

The spelling of 42073152 in words is "forty-two million, seventy-three thousand, one hundred fifty-two".