42576000 has 128 divisors (see below), whose sum is σ = 141298560. Its totient is φ = 11340800.

The previous prime is 42575971. The next prime is 42576019. The reversal of 42576000 is 67524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47557 + ... + 48443.

It is an arithmetic number, because the mean of its divisors is an integer number (1103895).

Almost surely, 2^42576000 is an apocalyptic number.

42576000 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 42576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70649280).

42576000 is an abundant number, since it is smaller than the sum of its proper divisors (98722560).

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

42576000 is an equidigital number, since it uses as much as digits as its factorization.

42576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 42576000 is about 6525.0287355689. The cubic root of 42576000 is about 349.1844958995.

The spelling of 42576000 in words is "forty-two million, five hundred seventy-six thousand".