42172400 has 120 divisors (see below), whose sum is σ = 110707200. Its totient is φ = 15379200.

The previous prime is 42172397. The next prime is 42172439. The reversal of 42172400 is 427124.

It is a super-2 number, since 2×42172400² = 3557022643520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235511 + ... + 235689.

It is an arithmetic number, because the mean of its divisors is an integer number (922560).

Almost surely, 2^42172400 is an apocalyptic number.

42172400 is a gapful number since it is divisible by the number (40) 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 42172400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55353600).

42172400 is an abundant number, since it is smaller than the sum of its proper divisors (68534800).

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

42172400 is a wasteful number, since it uses less digits than its factorization.

42172400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 42172400 is about 6494.0280258096. The cubic root of 42172400 is about 348.0776239401.

Adding to 42172400 its reverse (427124), we get a palindrome (42599524).

The spelling of 42172400 in words is "forty-two million, one hundred seventy-two thousand, four hundred".