42172752 has 40 divisors (see below), whose sum is σ = 110037600. Its totient is φ = 13916800.

The previous prime is 42172727. The next prime is 42172759. The reversal of 42172752 is 25727124.

It is a super-2 number, since 2×42172752² = 3557082022507008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42172759) 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, 499 + ... + 9197.

It is an arithmetic number, because the mean of its divisors is an integer number (2750940).

Almost surely, 2^42172752 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 42172752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55018800).

42172752 is an abundant number, since it is smaller than the sum of its proper divisors (67864848).

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

42172752 is a wasteful number, since it uses less digits than its factorization.

42172752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8811 (or 8805 counting only the distinct ones).

The product of its digits is 7840, while the sum is 30.

The square root of 42172752 is about 6494.0551275763. The cubic root of 42172752 is about 348.0785923696.

Adding to 42172752 its reverse (25727124), we get a palindrome (67899876).

It can be divided in two parts, 42172 and 752, that added together give a palindrome (42924).

The spelling of 42172752 in words is "forty-two million, one hundred seventy-two thousand, seven hundred fifty-two".