42552000 has 224 divisors, whose sum is σ = 156911040. Its totient is φ = 11289600.

The previous prime is 42551989. The next prime is 42552011. The reversal of 42552000 is 25524.

It is an interprime number because it is at equal distance from previous prime (42551989) and next prime (42552011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215902 + ... + 216098.

Almost surely, 2^42552000 is an apocalyptic number.

42552000 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 42552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78455520).

42552000 is an abundant number, since it is smaller than the sum of its proper divisors (114359040).

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

42552000 is a wasteful number, since it uses less digits than its factorization.

42552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 42552000 is about 6523.1894039649. The cubic root of 42552000 is about 349.1188720498.

Adding to 42552000 its reverse (25524), we get a palindrome (42577524).

It can be divided in two parts, 425 and 52000, that added together give a palindrome (52425).

The spelling of 42552000 in words is "forty-two million, five hundred fifty-two thousand".