42972672 has 80 divisors (see below), whose sum is σ = 116032752. Its totient is φ = 14131200.

The previous prime is 42972667. The next prime is 42972697. The reversal of 42972672 is 27627924.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42972672.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154998 + ... + 155274.

Almost surely, 2^42972672 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 42972672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58016376).

42972672 is an abundant number, since it is smaller than the sum of its proper divisors (73060080).

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

42972672 is a wasteful number, since it uses less digits than its factorization.

42972672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 42972672 is about 6555.3544526593. The cubic root of 42972672 is about 350.2655725878.

The spelling of 42972672 in words is "forty-two million, nine hundred seventy-two thousand, six hundred seventy-two".