42272800 has 72 divisors (see below), whose sum is σ = 105251076. Its totient is φ = 16573440.

The previous prime is 42272771. The next prime is 42272801. The reversal of 42272800 is 827224.

It can be written as a sum of positive squares in 6 ways, for example, as 28344976 + 13927824 = 5324^2 + 3732^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42272801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41902 + ... + 42898.

Almost surely, 2^42272800 is an apocalyptic number.

42272800 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 42272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52625538).

42272800 is an abundant number, since it is smaller than the sum of its proper divisors (62978276).

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

42272800 is a wasteful number, since it uses less digits than its factorization.

42272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 42272800 is about 6501.7536096041. The cubic root of 42272800 is about 348.3536282878.

The spelling of 42272800 in words is "forty-two million, two hundred seventy-two thousand, eight hundred".