42045972 has 12 divisors (see below), whose sum is σ = 98107296. Its totient is φ = 14015320.

The previous prime is 42045967. The next prime is 42045973. The reversal of 42045972 is 27954024.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×42045972² = 3535727522849568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42045973) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1751904 + ... + 1751927.

It is an arithmetic number, because the mean of its divisors is an integer number (8175608).

Almost surely, 2^42045972 is an apocalyptic number.

It is an amenable number.

42045972 is an abundant number, since it is smaller than the sum of its proper divisors (56061324).

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

42045972 is a wasteful number, since it uses less digits than its factorization.

42045972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503838 (or 3503836 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 42045972 is about 6484.2865451798. The cubic root of 42045972 is about 347.7294435587.

Adding to 42045972 its reverse (27954024), we get a palindrome (69999996).

The spelling of 42045972 in words is "forty-two million, forty-five thousand, nine hundred seventy-two".