42073920 has 168 divisors, whose sum is σ = 165469824. Its totient is φ = 9612288.

The previous prime is 42073919. The next prime is 42073931. The reversal of 42073920 is 2937024.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19117 + ... + 21203.

Almost surely, 2^42073920 is an apocalyptic number.

42073920 is a gapful number since it is divisible by the number (40) 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 42073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82734912).

42073920 is an abundant number, since it is smaller than the sum of its proper divisors (123395904).

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

42073920 is a wasteful number, since it uses less digits than its factorization.

42073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 42073920 is about 6486.4412430855. The cubic root of 42073920 is about 347.8064718649.

The spelling of 42073920 in words is "forty-two million, seventy-three thousand, nine hundred twenty".