42037020 has 72 divisors (see below), whose sum is σ = 128047920. Its totient is φ = 11162880.

The previous prime is 42037019. The next prime is 42037027. The reversal of 42037020 is 2073024.

It is a happy number.

It is a super-2 number, since 2×42037020² = 3534222100960800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42036984 and 42037002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42037027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73335 + ... + 73905.

Almost surely, 2^42037020 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 42037020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64023960).

42037020 is an abundant number, since it is smaller than the sum of its proper divisors (86010900).

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

42037020 is a wasteful number, since it uses less digits than its factorization.

42037020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 42037020 is about 6483.5962243187. The cubic root of 42037020 is about 347.7047634702.

The spelling of 42037020 in words is "forty-two million, thirty-seven thousand, twenty".