42072320 has 36 divisors (see below), whose sum is σ = 100779420. Its totient is φ = 16828416.

The previous prime is 42072311. The next prime is 42072341. The reversal of 42072320 is 2327024.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19642624 + 22429696 = 4432^2 + 4736^2 .

It is a super-2 number, since 2×42072320² = 3540160220364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42072292 and 42072301.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15155 + ... + 17714.

Almost surely, 2^42072320 is an apocalyptic number.

42072320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42072320 is an abundant number, since it is smaller than the sum of its proper divisors (58707100).

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

42072320 is an equidigital number, since it uses as much as digits as its factorization.

42072320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32890 (or 32876 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 42072320 is about 6486.3179077193. The cubic root of 42072320 is about 347.8020629784.

Adding to 42072320 its reverse (2327024), we get a palindrome (44399344).

The spelling of 42072320 in words is "forty-two million, seventy-two thousand, three hundred twenty".