42072072 has 64 divisors (see below), whose sum is σ = 120852480. Its totient is φ = 11956032.

The previous prime is 42072067. The next prime is 42072077. The reversal of 42072072 is 27027024.

It is an interprime number because it is at equal distance from previous prime (42072067) and next prime (42072077).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42072077) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36903 + ... + 38025.

It is an arithmetic number, because the mean of its divisors is an integer number (1888320).

Almost surely, 2^42072072 is an apocalyptic number.

42072072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42072072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60426240).

42072072 is an abundant number, since it is smaller than the sum of its proper divisors (78780408).

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

42072072 is a wasteful number, since it uses less digits than its factorization.

42072072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 42072072 is about 6486.2987905276. The cubic root of 42072072 is about 347.8013795910.

Adding to 42072072 its reverse (27027024), we get a palindrome (69099096).

The spelling of 42072072 in words is "forty-two million, seventy-two thousand, seventy-two".