42720600 has 96 divisors (see below), whose sum is σ = 142647120. Its totient is φ = 10513920.

The previous prime is 42720599. The next prime is 42720611. The reversal of 42720600 is 602724.

It is a happy number.

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, 5062 + ... + 10538.

Almost surely, 2^42720600 is an apocalyptic number.

42720600 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 42720600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71323560).

42720600 is an abundant number, since it is smaller than the sum of its proper divisors (99926520).

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

42720600 is a wasteful number, since it uses less digits than its factorization.

42720600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5509 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 42720600 is about 6536.0997544407. The cubic root of 42720600 is about 349.5793586076.

The spelling of 42720600 in words is "forty-two million, seven hundred twenty thousand, six hundred".