42100672 has 56 divisors (see below), whose sum is σ = 89647776. Its totient is φ = 19565568.

The previous prime is 42100661. The next prime is 42100679. The reversal of 42100672 is 27600124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42100679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54078 + ... + 54850.

Almost surely, 2^42100672 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 42100672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44823888).

42100672 is an abundant number, since it is smaller than the sum of its proper divisors (47547104).

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

42100672 is a wasteful number, since it uses less digits than its factorization.

42100672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 42100672 is about 6488.5030631109. The cubic root of 42100672 is about 347.8801718940.

Adding to 42100672 its reverse (27600124), we get a palindrome (69700796).

It can be divided in two parts, 42 and 100672, that multiplied together give a palindrome (4228224).

The spelling of 42100672 in words is "forty-two million, one hundred thousand, six hundred seventy-two".