42072192 has 96 divisors (see below), whose sum is σ = 123318000. Its totient is φ = 13764096.

The previous prime is 42072157. The next prime is 42072193. The reversal of 42072192 is 29127024.

42072192 = T₁₃ + T₁₄ + ... + T₆₃₁.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (42072193) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67659 + ... + 68277.

Almost surely, 2^42072192 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 42072192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61659000).

42072192 is an abundant number, since it is smaller than the sum of its proper divisors (81245808).

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

42072192 is a wasteful number, since it uses less digits than its factorization.

42072192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42072192 is about 6486.3080407887. The cubic root of 42072192 is about 347.8017102627.

The spelling of 42072192 in words is "forty-two million, seventy-two thousand, one hundred ninety-two".